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Finding the Fourth Proportional to 57,902.80, 86,795.73 and 27,872.94

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Solution

The fourth proportional to 57,902.80, 86,795.73 and 27,872.94 is: 41,781.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,902.80 : 86,795.73 = 27,872.94 : x
  2. Step 2: Convert to fraction form
    57,902.80/86,795.73 = 27,872.94/x
  3. Step 3: Cross multiply
    57,902.80x = 86,795.73 × 27,872.94
  4. Step 4: Simplify right side
    57,902.80x = 2,419,251,689.30
  5. Step 5: Solve for x
    x = 2,419,251,689.30/57,902.80
  6. Step 6: Final answer
    x = 41,781.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.