Find the pair of numbers that would fit into the pattern:
32 3, 32 4, 32 12, 32 48, 32 240, ? ?

Each term consists of a constant prefix $32$ followed by a number. Let's analyze the sequence of the trailing numbers: $3,4,12,48,240,\dots$
* $3\times 1=4$ (or $3\to 4$ multiplication shift)
Let's see the precise multiplication factor pattern between consecutive steps:
* $3\times \frac{4}{3}=4$
Alternative multiplication series pattern:
* $3\times \mathrm{1.33...}$ does not match cleanly. Let's re-verify:
* $4=3\times 1+1$
* $12=4\times 3$
* $48=12\times 4$
* $240=48\times 5$
Notice the factors are sequential: $\times 1$ (from an implied base or simple step calculation), $\times 3,\times 4,\times 5$.
Let's trace:
* $3\to 4$ (here it is $+1$ or $\times 1$ approx base variant)
* $4\to 12$ ($\times 3$)
* $12\to 48$ ($\times 4$)
* $48\to 240$ ($\times 5$)
Following this logic, the next multiplication factor must be $\times 6$:

$$\text{Next Number}=240\times 6=1440$$

Thus, the next entry in the pattern is 32 1440.