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Finding the Fourth Proportional to 40,691.88, 60,766.32 and 31,827.24

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Solution

The fourth proportional to 40,691.88, 60,766.32 and 31,827.24 is: 47,528.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,691.88 : 60,766.32 = 31,827.24 : x
  2. Step 2: Convert to fraction form
    40,691.88/60,766.32 = 31,827.24/x
  3. Step 3: Cross multiply
    40,691.88x = 60,766.32 × 31,827.24
  4. Step 4: Simplify right side
    40,691.88x = 1,934,024,250.56
  5. Step 5: Solve for x
    x = 1,934,024,250.56/40,691.88
  6. Step 6: Final answer
    x = 47,528.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.