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Finding the Fourth Proportional to 41,458.66, 57,213.11 and 22,595.78

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Solution

The fourth proportional to 41,458.66, 57,213.11 and 22,595.78 is: 31,182.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,458.66 : 57,213.11 = 22,595.78 : x
  2. Step 2: Convert to fraction form
    41,458.66/57,213.11 = 22,595.78/x
  3. Step 3: Cross multiply
    41,458.66x = 57,213.11 × 22,595.78
  4. Step 4: Simplify right side
    41,458.66x = 1,292,775,046.20
  5. Step 5: Solve for x
    x = 1,292,775,046.20/41,458.66
  6. Step 6: Final answer
    x = 31,182.27

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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.