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Finding the Fourth Proportional to 41,046.56, 56,644.17 and 23,141.44

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Solution

The fourth proportional to 41,046.56, 56,644.17 and 23,141.44 is: 31,935.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,046.56 : 56,644.17 = 23,141.44 : x
  2. Step 2: Convert to fraction form
    41,046.56/56,644.17 = 23,141.44/x
  3. Step 3: Cross multiply
    41,046.56x = 56,644.17 × 23,141.44
  4. Step 4: Simplify right side
    41,046.56x = 1,310,827,645.43
  5. Step 5: Solve for x
    x = 1,310,827,645.43/41,046.56
  6. Step 6: Final answer
    x = 31,935.14

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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.