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Finding the Fourth Proportional to 83,791.34, 125,691.66 and 27,629.18

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Solution

The fourth proportional to 83,791.34, 125,691.66 and 27,629.18 is: 41,445.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,791.34 : 125,691.66 = 27,629.18 : x
  2. Step 2: Convert to fraction form
    83,791.34/125,691.66 = 27,629.18/x
  3. Step 3: Cross multiply
    83,791.34x = 125,691.66 × 27,629.18
  4. Step 4: Simplify right side
    83,791.34x = 3,472,757,498.64
  5. Step 5: Solve for x
    x = 3,472,757,498.64/83,791.34
  6. Step 6: Final answer
    x = 41,445.30

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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.