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Finding the Fourth Proportional to 71,693.70, 107,562.42 and 36,657.96

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Solution

The fourth proportional to 71,693.70, 107,562.42 and 36,657.96 is: 54,998.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,693.70 : 107,562.42 = 36,657.96 : x
  2. Step 2: Convert to fraction form
    71,693.70/107,562.42 = 36,657.96/x
  3. Step 3: Cross multiply
    71,693.70x = 107,562.42 × 36,657.96
  4. Step 4: Simplify right side
    71,693.70x = 3,943,018,889.86
  5. Step 5: Solve for x
    x = 3,943,018,889.86/71,693.70
  6. Step 6: Final answer
    x = 54,998.12

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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.