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Finding the Fourth Proportional to 71,512.56, 107,244.54 and 24,754.50

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Solution

The fourth proportional to 71,512.56, 107,244.54 and 24,754.50 is: 37,123.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,512.56 : 107,244.54 = 24,754.50 : x
  2. Step 2: Convert to fraction form
    71,512.56/107,244.54 = 24,754.50/x
  3. Step 3: Cross multiply
    71,512.56x = 107,244.54 × 24,754.50
  4. Step 4: Simplify right side
    71,512.56x = 2,654,784,965.43
  5. Step 5: Solve for x
    x = 2,654,784,965.43/71,512.56
  6. Step 6: Final answer
    x = 37,123.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.