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Finding the Fourth Proportional to 29,691.38, 41,001.65 and 22,226.42

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Solution

The fourth proportional to 29,691.38, 41,001.65 and 22,226.42 is: 30,693.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,691.38 : 41,001.65 = 22,226.42 : x
  2. Step 2: Convert to fraction form
    29,691.38/41,001.65 = 22,226.42/x
  3. Step 3: Cross multiply
    29,691.38x = 41,001.65 × 22,226.42
  4. Step 4: Simplify right side
    29,691.38x = 911,319,893.59
  5. Step 5: Solve for x
    x = 911,319,893.59/29,691.38
  6. Step 6: Final answer
    x = 30,693.08

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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.