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Finding the Fourth Proportional to 41,769.38, 57,641.82 and 22,906.64

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Solution

The fourth proportional to 41,769.38, 57,641.82 and 22,906.64 is: 31,611.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,769.38 : 57,641.82 = 22,906.64 : x
  2. Step 2: Convert to fraction form
    41,769.38/57,641.82 = 22,906.64/x
  3. Step 3: Cross multiply
    41,769.38x = 57,641.82 × 22,906.64
  4. Step 4: Simplify right side
    41,769.38x = 1,320,380,419.68
  5. Step 5: Solve for x
    x = 1,320,380,419.68/41,769.38
  6. Step 6: Final answer
    x = 31,611.20

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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.