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Finding the Fourth Proportional to 71,566.20, 107,262.90 and 36,487.80

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Solution

The fourth proportional to 71,566.20, 107,262.90 and 36,487.80 is: 54,687.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,566.20 : 107,262.90 = 36,487.80 : x
  2. Step 2: Convert to fraction form
    71,566.20/107,262.90 = 36,487.80/x
  3. Step 3: Cross multiply
    71,566.20x = 107,262.90 × 36,487.80
  4. Step 4: Simplify right side
    71,566.20x = 3,913,787,242.62
  5. Step 5: Solve for x
    x = 3,913,787,242.62/71,566.20
  6. Step 6: Final answer
    x = 54,687.65

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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.