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Find the missing number in the box [ ] in the proportion:

[ ]/45 = 16/40 = 24/[ ]

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Consider the first two ratios [ ]/45 = 16/40

Let us assume the missing number be P

Then, P/45 = 16/40

By cross multiplication we get,

P = (16 × 45)/40

P = 720/40

P = 72/4

Divide both numerator and denominator by 4.

P = 18

Therefore, [18]/45 = 16/40

Now, consider the last two ratios, 16/40 = 24/[ ]

Let us assume the missing number be Q,

Then, 16/40 = 24/Q

By cross multiplication we get,

Q = (24 × 40)/16

Q = 960/16

Divide both numerator and denominator by 16.

Q = 60

Therefore, 16/40 = 24/[60]

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