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Finding the Fourth Proportional to 71,151.14, 106,722.84 and 36,089.88

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Solution

The fourth proportional to 71,151.14, 106,722.84 and 36,089.88 is: 54,132.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,151.14 : 106,722.84 = 36,089.88 : x
  2. Step 2: Convert to fraction form
    71,151.14/106,722.84 = 36,089.88/x
  3. Step 3: Cross multiply
    71,151.14x = 106,722.84 × 36,089.88
  4. Step 4: Simplify right side
    71,151.14x = 3,851,614,488.86
  5. Step 5: Solve for x
    x = 3,851,614,488.86/71,151.14
  6. Step 6: Final answer
    x = 54,132.86

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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.