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Finding the Fourth Proportional to 41,324.31, 57,055.01 and 31,747.14

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Solution

The fourth proportional to 41,324.31, 57,055.01 and 31,747.14 is: 43,832.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,324.31 : 57,055.01 = 31,747.14 : x
  2. Step 2: Convert to fraction form
    41,324.31/57,055.01 = 31,747.14/x
  3. Step 3: Cross multiply
    41,324.31x = 57,055.01 × 31,747.14
  4. Step 4: Simplify right side
    41,324.31x = 1,811,333,390.17
  5. Step 5: Solve for x
    x = 1,811,333,390.17/41,324.31
  6. Step 6: Final answer
    x = 43,832.15

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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.