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Finding the Fourth Proportional to 52,122.38, 71,928.60 and 28,248.80

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Solution

The fourth proportional to 52,122.38, 71,928.60 and 28,248.80 is: 38,983.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,122.38 : 71,928.60 = 28,248.80 : x
  2. Step 2: Convert to fraction form
    52,122.38/71,928.60 = 28,248.80/x
  3. Step 3: Cross multiply
    52,122.38x = 71,928.60 × 28,248.80
  4. Step 4: Simplify right side
    52,122.38x = 2,031,896,635.68
  5. Step 5: Solve for x
    x = 2,031,896,635.68/52,122.38
  6. Step 6: Final answer
    x = 38,983.19

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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.