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Finding the Fourth Proportional to 80,838.38, 111,542.18 and 45,027.48

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Solution

The fourth proportional to 80,838.38, 111,542.18 and 45,027.48 is: 62,129.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,838.38 : 111,542.18 = 45,027.48 : x
  2. Step 2: Convert to fraction form
    80,838.38/111,542.18 = 45,027.48/x
  3. Step 3: Cross multiply
    80,838.38x = 111,542.18 × 45,027.48
  4. Step 4: Simplify right side
    80,838.38x = 5,022,463,279.11
  5. Step 5: Solve for x
    x = 5,022,463,279.11/80,838.38
  6. Step 6: Final answer
    x = 62,129.69

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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.