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Finding the Fourth Proportional to 54,951.52, 75,832.72 and 29,801

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Solution

The fourth proportional to 54,951.52, 75,832.72 and 29,801 is: 41,125.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,951.52 : 75,832.72 = 29,801 : x
  2. Step 2: Convert to fraction form
    54,951.52/75,832.72 = 29,801/x
  3. Step 3: Cross multiply
    54,951.52x = 75,832.72 × 29,801
  4. Step 4: Simplify right side
    54,951.52x = 2,259,890,888.72
  5. Step 5: Solve for x
    x = 2,259,890,888.72/54,951.52
  6. Step 6: Final answer
    x = 41,125.18

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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.