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Finding the Fourth Proportional to 54,034.64, 81,051.12 and 27,724.20

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Solution

The fourth proportional to 54,034.64, 81,051.12 and 27,724.20 is: 41,585.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,034.64 : 81,051.12 = 27,724.20 : x
  2. Step 2: Convert to fraction form
    54,034.64/81,051.12 = 27,724.20/x
  3. Step 3: Cross multiply
    54,034.64x = 81,051.12 × 27,724.20
  4. Step 4: Simplify right side
    54,034.64x = 2,247,077,461.10
  5. Step 5: Solve for x
    x = 2,247,077,461.10/54,034.64
  6. Step 6: Final answer
    x = 41,585.87

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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.