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Finding the Fourth Proportional to 80,575.38, 111,158.25 and 53,691.66

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Solution

The fourth proportional to 80,575.38, 111,158.25 and 53,691.66 is: 74,070.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,575.38 : 111,158.25 = 53,691.66 : x
  2. Step 2: Convert to fraction form
    80,575.38/111,158.25 = 53,691.66/x
  3. Step 3: Cross multiply
    80,575.38x = 111,158.25 × 53,691.66
  4. Step 4: Simplify right side
    80,575.38x = 5,968,270,965.20
  5. Step 5: Solve for x
    x = 5,968,270,965.20/80,575.38
  6. Step 6: Final answer
    x = 74,070.65

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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.