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Finding the Fourth Proportional to 41,543.66, 57,330.14 and 22,680.78

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Solution

The fourth proportional to 41,543.66, 57,330.14 and 22,680.78 is: 31,299.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,543.66 : 57,330.14 = 22,680.78 : x
  2. Step 2: Convert to fraction form
    41,543.66/57,330.14 = 22,680.78/x
  3. Step 3: Cross multiply
    41,543.66x = 57,330.14 × 22,680.78
  4. Step 4: Simplify right side
    41,543.66x = 1,300,292,179.31
  5. Step 5: Solve for x
    x = 1,300,292,179.31/41,543.66
  6. Step 6: Final answer
    x = 31,299.42

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