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Finding the Fourth Proportional to 71,691.92, 107,559.76 and 36,656.18

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Solution

The fourth proportional to 71,691.92, 107,559.76 and 36,656.18 is: 54,995.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,691.92 : 107,559.76 = 36,656.18 : x
  2. Step 2: Convert to fraction form
    71,691.92/107,559.76 = 36,656.18/x
  3. Step 3: Cross multiply
    71,691.92x = 107,559.76 × 36,656.18
  4. Step 4: Simplify right side
    71,691.92x = 3,942,729,923.32
  5. Step 5: Solve for x
    x = 3,942,729,923.32/71,691.92
  6. Step 6: Final answer
    x = 54,995.46

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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.