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Finding the Fourth Proportional to 54,862.32, 75,710.10 and 29,711.82

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Solution

The fourth proportional to 54,862.32, 75,710.10 and 29,711.82 is: 41,002.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,862.32 : 75,710.10 = 29,711.82 : x
  2. Step 2: Convert to fraction form
    54,862.32/75,710.10 = 29,711.82/x
  3. Step 3: Cross multiply
    54,862.32x = 75,710.10 × 29,711.82
  4. Step 4: Simplify right side
    54,862.32x = 2,249,485,258.71
  5. Step 5: Solve for x
    x = 2,249,485,258.71/54,862.32
  6. Step 6: Final answer
    x = 41,002.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.