Finding the Fourth Proportional to 32,400, 44,712 and 17,496
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Solution
The fourth proportional to 32,400, 44,712 and 17,496 is: 24,144.48
Step by Step Solution
- Step 1: Write the proportion equation
32,400 : 44,712 = 17,496 : x - Step 2: Convert to fraction form
32,400/44,712 = 17,496/x - Step 3: Cross multiply
32,400x = 44,712 × 17,496 - Step 4: Simplify right side
32,400x = 782,281,152 - Step 5: Solve for x
x = 782,281,152/32,400 - Step 6: Final answer
x = 24,144.48
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.