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Finding the Fourth Proportional to 41,515.92, 57,299.40 and 24,750

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Solution

The fourth proportional to 41,515.92, 57,299.40 and 24,750 is: 34,159.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,515.92 : 57,299.40 = 24,750 : x
  2. Step 2: Convert to fraction form
    41,515.92/57,299.40 = 24,750/x
  3. Step 3: Cross multiply
    41,515.92x = 57,299.40 × 24,750
  4. Step 4: Simplify right side
    41,515.92x = 1,418,160,150
  5. Step 5: Solve for x
    x = 1,418,160,150/41,515.92
  6. Step 6: Final answer
    x = 34,159.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.