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Finding the Fourth Proportional to 41,321.31, 57,023.85 and 22,458.42

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Solution

The fourth proportional to 41,321.31, 57,023.85 and 22,458.42 is: 30,992.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,321.31 : 57,023.85 = 22,458.42 : x
  2. Step 2: Convert to fraction form
    41,321.31/57,023.85 = 22,458.42/x
  3. Step 3: Cross multiply
    41,321.31x = 57,023.85 × 22,458.42
  4. Step 4: Simplify right side
    41,321.31x = 1,280,665,573.32
  5. Step 5: Solve for x
    x = 1,280,665,573.32/41,321.31
  6. Step 6: Final answer
    x = 30,992.86

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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.