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Finding the Fourth Proportional to 54,882.90, 82,329.21 and 22,854.89

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Solution

The fourth proportional to 54,882.90, 82,329.21 and 22,854.89 is: 34,284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,882.90 : 82,329.21 = 22,854.89 : x
  2. Step 2: Convert to fraction form
    54,882.90/82,329.21 = 22,854.89/x
  3. Step 3: Cross multiply
    54,882.90x = 82,329.21 × 22,854.89
  4. Step 4: Simplify right side
    54,882.90x = 1,881,625,244.16
  5. Step 5: Solve for x
    x = 1,881,625,244.16/54,882.90
  6. Step 6: Final answer
    x = 34,284.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.