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Finding the Fourth Proportional to 71,775.38, 107,663.11 and 32,286.36

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Solution

The fourth proportional to 71,775.38, 107,663.11 and 32,286.36 is: 48,429.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,775.38 : 107,663.11 = 32,286.36 : x
  2. Step 2: Convert to fraction form
    71,775.38/107,663.11 = 32,286.36/x
  3. Step 3: Cross multiply
    71,775.38x = 107,663.11 × 32,286.36
  4. Step 4: Simplify right side
    71,775.38x = 3,476,049,847.46
  5. Step 5: Solve for x
    x = 3,476,049,847.46/71,775.38
  6. Step 6: Final answer
    x = 48,429.56

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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.