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Finding the Fourth Proportional to 57,857.96, 86,836.25 and 22,822.22

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Solution

The fourth proportional to 57,857.96, 86,836.25 and 22,822.22 is: 34,252.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,857.96 : 86,836.25 = 22,822.22 : x
  2. Step 2: Convert to fraction form
    57,857.96/86,836.25 = 22,822.22/x
  3. Step 3: Cross multiply
    57,857.96x = 86,836.25 × 22,822.22
  4. Step 4: Simplify right side
    57,857.96x = 1,981,796,001.48
  5. Step 5: Solve for x
    x = 1,981,796,001.48/57,857.96
  6. Step 6: Final answer
    x = 34,252.78

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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.