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Finding the Fourth Proportional to 41,311, 57,008.76 and 22,448.20

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Solution

The fourth proportional to 41,311, 57,008.76 and 22,448.20 is: 30,978.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,311 : 57,008.76 = 22,448.20 : x
  2. Step 2: Convert to fraction form
    41,311/57,008.76 = 22,448.20/x
  3. Step 3: Cross multiply
    41,311x = 57,008.76 × 22,448.20
  4. Step 4: Simplify right side
    41,311x = 1,279,744,046.23
  5. Step 5: Solve for x
    x = 1,279,744,046.23/41,311
  6. Step 6: Final answer
    x = 30,978.29

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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.