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Finding the Fourth Proportional to 54,805.38, 75,631.49 and 29,654.88

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Solution

The fourth proportional to 54,805.38, 75,631.49 and 29,654.88 is: 40,923.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,805.38 : 75,631.49 = 29,654.88 : x
  2. Step 2: Convert to fraction form
    54,805.38/75,631.49 = 29,654.88/x
  3. Step 3: Cross multiply
    54,805.38x = 75,631.49 × 29,654.88
  4. Step 4: Simplify right side
    54,805.38x = 2,242,842,760.17
  5. Step 5: Solve for x
    x = 2,242,842,760.17/54,805.38
  6. Step 6: Final answer
    x = 40,923.77

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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.