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Finding the Fourth Proportional to 40,042.71, 55,195.29 and 31,531.32

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Solution

The fourth proportional to 40,042.71, 55,195.29 and 31,531.32 is: 43,463.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,042.71 : 55,195.29 = 31,531.32 : x
  2. Step 2: Convert to fraction form
    40,042.71/55,195.29 = 31,531.32/x
  3. Step 3: Cross multiply
    40,042.71x = 55,195.29 × 31,531.32
  4. Step 4: Simplify right side
    40,042.71x = 1,740,380,351.48
  5. Step 5: Solve for x
    x = 1,740,380,351.48/40,042.71
  6. Step 6: Final answer
    x = 43,463.10

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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.