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Finding the Fourth Proportional to 57,857.71, 86,835.87 and 22,821.97

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Solution

The fourth proportional to 57,857.71, 86,835.87 and 22,821.97 is: 34,252.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,857.71 : 86,835.87 = 22,821.97 : x
  2. Step 2: Convert to fraction form
    57,857.71/86,835.87 = 22,821.97/x
  3. Step 3: Cross multiply
    57,857.71x = 86,835.87 × 22,821.97
  4. Step 4: Simplify right side
    57,857.71x = 1,981,765,620.06
  5. Step 5: Solve for x
    x = 1,981,765,620.06/57,857.71
  6. Step 6: Final answer
    x = 34,252.40

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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.