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Finding the Fourth Proportional to 54,943.57, 82,449.20 and 21,657.97

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Solution

The fourth proportional to 54,943.57, 82,449.20 and 21,657.97 is: 32,500.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,943.57 : 82,449.20 = 21,657.97 : x
  2. Step 2: Convert to fraction form
    54,943.57/82,449.20 = 21,657.97/x
  3. Step 3: Cross multiply
    54,943.57x = 82,449.20 × 21,657.97
  4. Step 4: Simplify right side
    54,943.57x = 1,785,682,300.12
  5. Step 5: Solve for x
    x = 1,785,682,300.12/54,943.57
  6. Step 6: Final answer
    x = 32,500.30

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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.