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Finding the Fourth Proportional to 54,917.31, 75,789.03 and 31,046.07

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Solution

The fourth proportional to 54,917.31, 75,789.03 and 31,046.07 is: 42,845.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,917.31 : 75,789.03 = 31,046.07 : x
  2. Step 2: Convert to fraction form
    54,917.31/75,789.03 = 31,046.07/x
  3. Step 3: Cross multiply
    54,917.31x = 75,789.03 × 31,046.07
  4. Step 4: Simplify right side
    54,917.31x = 2,352,951,530.61
  5. Step 5: Solve for x
    x = 2,352,951,530.61/54,917.31
  6. Step 6: Final answer
    x = 42,845.35

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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.