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Finding the Fourth Proportional to 54,920.34, 75,789.70 and 31,046.97

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Solution

The fourth proportional to 54,920.34, 75,789.70 and 31,046.97 is: 42,844.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,920.34 : 75,789.70 = 31,046.97 : x
  2. Step 2: Convert to fraction form
    54,920.34/75,789.70 = 31,046.97/x
  3. Step 3: Cross multiply
    54,920.34x = 75,789.70 × 31,046.97
  4. Step 4: Simplify right side
    54,920.34x = 2,353,040,542.21
  5. Step 5: Solve for x
    x = 2,353,040,542.21/54,920.34
  6. Step 6: Final answer
    x = 42,844.61

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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.