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Finding the Fourth Proportional to 54,049.83, 74,584.50 and 31,385.12

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Solution

The fourth proportional to 54,049.83, 74,584.50 and 31,385.12 is: 43,308.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,049.83 : 74,584.50 = 31,385.12 : x
  2. Step 2: Convert to fraction form
    54,049.83/74,584.50 = 31,385.12/x
  3. Step 3: Cross multiply
    54,049.83x = 74,584.50 × 31,385.12
  4. Step 4: Simplify right side
    54,049.83x = 2,340,843,411.56
  5. Step 5: Solve for x
    x = 2,340,843,411.56/54,049.83
  6. Step 6: Final answer
    x = 43,308.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.