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Finding the Fourth Proportional to 47,704, 71,546.16 and 27,700.96

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Solution

The fourth proportional to 47,704, 71,546.16 and 27,700.96 is: 41,545.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,704 : 71,546.16 = 27,700.96 : x
  2. Step 2: Convert to fraction form
    47,704/71,546.16 = 27,700.96/x
  3. Step 3: Cross multiply
    47,704x = 71,546.16 × 27,700.96
  4. Step 4: Simplify right side
    47,704x = 1,981,897,316.31
  5. Step 5: Solve for x
    x = 1,981,897,316.31/47,704
  6. Step 6: Final answer
    x = 41,545.73

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Why These Related Problems?

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