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Finding the Fourth Proportional to 54,882.97, 75,738.58 and 29,732.47

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Solution

The fourth proportional to 54,882.97, 75,738.58 and 29,732.47 is: 41,030.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,882.97 : 75,738.58 = 29,732.47 : x
  2. Step 2: Convert to fraction form
    54,882.97/75,738.58 = 29,732.47/x
  3. Step 3: Cross multiply
    54,882.97x = 75,738.58 × 29,732.47
  4. Step 4: Simplify right side
    54,882.97x = 2,251,894,794.01
  5. Step 5: Solve for x
    x = 2,251,894,794.01/54,882.97
  6. Step 6: Final answer
    x = 41,030.85

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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.