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Finding the Fourth Proportional to 54,850.44, 82,279.50 and 27,141

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Solution

The fourth proportional to 54,850.44, 82,279.50 and 27,141 is: 40,713.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,850.44 : 82,279.50 = 27,141 : x
  2. Step 2: Convert to fraction form
    54,850.44/82,279.50 = 27,141/x
  3. Step 3: Cross multiply
    54,850.44x = 82,279.50 × 27,141
  4. Step 4: Simplify right side
    54,850.44x = 2,233,147,909.50
  5. Step 5: Solve for x
    x = 2,233,147,909.50/54,850.44
  6. Step 6: Final answer
    x = 40,713.40

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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.