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Finding the Fourth Proportional to 54,419.82, 81,614.26 and 21,132.78

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Solution

The fourth proportional to 54,419.82, 81,614.26 and 21,132.78 is: 31,693.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,419.82 : 81,614.26 = 21,132.78 : x
  2. Step 2: Convert to fraction form
    54,419.82/81,614.26 = 21,132.78/x
  3. Step 3: Cross multiply
    54,419.82x = 81,614.26 × 21,132.78
  4. Step 4: Simplify right side
    54,419.82x = 1,724,736,201.44
  5. Step 5: Solve for x
    x = 1,724,736,201.44/54,419.82
  6. Step 6: Final answer
    x = 31,693.16

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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.