What will come in place of the question mark in the following equation? 1/4th…

Concept: To find 'a fraction of a fraction of a number', multiply all the fractions together first to get one combined fraction, then multiply that combined fraction by the number. Successive 'of' operations multiply together; they are not added or applied separately.

1. Multiply the three fractions: 1/4 x 1/2 x 3/4 = (1 x 1 x 3)/(4 x 2 x 4) = 3/32.

2. Apply this combined fraction to 52000: 3/32 x 52000 = 156000/32.

3. Simplify: 156000 divided by 32 = 4875.

Cross-check: working forward step by step in the original order — three-fourths of 52000 is 39000; half of 39000 is 19500; one-fourth of 19500 is 4875 — the same result, confirming the answer.