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Finding the Fourth Proportional to 41,761.44, 57,629.76 and 22,640.16

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Solution

The fourth proportional to 41,761.44, 57,629.76 and 22,640.16 is: 31,242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,761.44 : 57,629.76 = 22,640.16 : x
  2. Step 2: Convert to fraction form
    41,761.44/57,629.76 = 22,640.16/x
  3. Step 3: Cross multiply
    41,761.44x = 57,629.76 × 22,640.16
  4. Step 4: Simplify right side
    41,761.44x = 1,304,746,987.16
  5. Step 5: Solve for x
    x = 1,304,746,987.16/41,761.44
  6. Step 6: Final answer
    x = 31,242.86

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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.