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Finding the Fourth Proportional to 57,891.72, 86,834.24 and 22,346.09

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Solution

The fourth proportional to 57,891.72, 86,834.24 and 22,346.09 is: 33,517.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,891.72 : 86,834.24 = 22,346.09 : x
  2. Step 2: Convert to fraction form
    57,891.72/86,834.24 = 22,346.09/x
  3. Step 3: Cross multiply
    57,891.72x = 86,834.24 × 22,346.09
  4. Step 4: Simplify right side
    57,891.72x = 1,940,405,742.12
  5. Step 5: Solve for x
    x = 1,940,405,742.12/57,891.72
  6. Step 6: Final answer
    x = 33,517.85

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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.