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Finding the Fourth Proportional to 41,402.12, 57,131.70 and 23,493

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Solution

The fourth proportional to 41,402.12, 57,131.70 and 23,493 is: 32,418.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,402.12 : 57,131.70 = 23,493 : x
  2. Step 2: Convert to fraction form
    41,402.12/57,131.70 = 23,493/x
  3. Step 3: Cross multiply
    41,402.12x = 57,131.70 × 23,493
  4. Step 4: Simplify right side
    41,402.12x = 1,342,195,028.10
  5. Step 5: Solve for x
    x = 1,342,195,028.10/41,402.12
  6. Step 6: Final answer
    x = 32,418.51

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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.