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Finding the Fourth Proportional to 41,613.54, 57,432 and 23,715

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Solution

The fourth proportional to 41,613.54, 57,432 and 23,715 is: 32,729.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,613.54 : 57,432 = 23,715 : x
  2. Step 2: Convert to fraction form
    41,613.54/57,432 = 23,715/x
  3. Step 3: Cross multiply
    41,613.54x = 57,432 × 23,715
  4. Step 4: Simplify right side
    41,613.54x = 1,361,999,880
  5. Step 5: Solve for x
    x = 1,361,999,880/41,613.54
  6. Step 6: Final answer
    x = 32,729.73

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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.