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Finding the Fourth Proportional to 125,115.42, 187,691.42 and 36,357.38

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Solution

The fourth proportional to 125,115.42, 187,691.42 and 36,357.38 is: 54,541.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,115.42 : 187,691.42 = 36,357.38 : x
  2. Step 2: Convert to fraction form
    125,115.42/187,691.42 = 36,357.38/x
  3. Step 3: Cross multiply
    125,115.42x = 187,691.42 × 36,357.38
  4. Step 4: Simplify right side
    125,115.42x = 6,823,968,279.68
  5. Step 5: Solve for x
    x = 6,823,968,279.68/125,115.42
  6. Step 6: Final answer
    x = 54,541.38

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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.