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Finding the Fourth Proportional to 52,115.92, 71,920.22 and 28,242.56

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Solution

The fourth proportional to 52,115.92, 71,920.22 and 28,242.56 is: 38,974.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,115.92 : 71,920.22 = 28,242.56 : x
  2. Step 2: Convert to fraction form
    52,115.92/71,920.22 = 28,242.56/x
  3. Step 3: Cross multiply
    52,115.92x = 71,920.22 × 28,242.56
  4. Step 4: Simplify right side
    52,115.92x = 2,031,211,128.56
  5. Step 5: Solve for x
    x = 2,031,211,128.56/52,115.92
  6. Step 6: Final answer
    x = 38,974.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.