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Finding the Fourth Proportional to 41,649.38, 57,476.98 and 22,786.90

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Solution

The fourth proportional to 41,649.38, 57,476.98 and 22,786.90 is: 31,446.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,649.38 : 57,476.98 = 22,786.90 : x
  2. Step 2: Convert to fraction form
    41,649.38/57,476.98 = 22,786.90/x
  3. Step 3: Cross multiply
    41,649.38x = 57,476.98 × 22,786.90
  4. Step 4: Simplify right side
    41,649.38x = 1,309,722,195.56
  5. Step 5: Solve for x
    x = 1,309,722,195.56/41,649.38
  6. Step 6: Final answer
    x = 31,446.38

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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.