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Finding the Fourth Proportional to 52,542.38, 72,508.49 and 33,679.55

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Solution

The fourth proportional to 52,542.38, 72,508.49 and 33,679.55 is: 46,477.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,542.38 : 72,508.49 = 33,679.55 : x
  2. Step 2: Convert to fraction form
    52,542.38/72,508.49 = 33,679.55/x
  3. Step 3: Cross multiply
    52,542.38x = 72,508.49 × 33,679.55
  4. Step 4: Simplify right side
    52,542.38x = 2,442,053,314.38
  5. Step 5: Solve for x
    x = 2,442,053,314.38/52,542.38
  6. Step 6: Final answer
    x = 46,477.78

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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.