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Finding the Fourth Proportional to 41,691.80, 57,534.77 and 22,571.77

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Solution

The fourth proportional to 41,691.80, 57,534.77 and 22,571.77 is: 31,149.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,691.80 : 57,534.77 = 22,571.77 : x
  2. Step 2: Convert to fraction form
    41,691.80/57,534.77 = 22,571.77/x
  3. Step 3: Cross multiply
    41,691.80x = 57,534.77 × 22,571.77
  4. Step 4: Simplify right side
    41,691.80x = 1,298,661,338.75
  5. Step 5: Solve for x
    x = 1,298,661,338.75/41,691.80
  6. Step 6: Final answer
    x = 31,149.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.