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Finding the Fourth Proportional to 54,491.31, 81,750.14 and 18,947.50

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Solution

The fourth proportional to 54,491.31, 81,750.14 and 18,947.50 is: 28,425.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,491.31 : 81,750.14 = 18,947.50 : x
  2. Step 2: Convert to fraction form
    54,491.31/81,750.14 = 18,947.50/x
  3. Step 3: Cross multiply
    54,491.31x = 81,750.14 × 18,947.50
  4. Step 4: Simplify right side
    54,491.31x = 1,548,960,274.16
  5. Step 5: Solve for x
    x = 1,548,960,274.16/54,491.31
  6. Step 6: Final answer
    x = 28,425.82

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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.