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Finding the Fourth Proportional to 50,531.53, 75,672.73 and 31,765.02

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Solution

The fourth proportional to 50,531.53, 75,672.73 and 31,765.02 is: 47,569.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,531.53 : 75,672.73 = 31,765.02 : x
  2. Step 2: Convert to fraction form
    50,531.53/75,672.73 = 31,765.02/x
  3. Step 3: Cross multiply
    50,531.53x = 75,672.73 × 31,765.02
  4. Step 4: Simplify right side
    50,531.53x = 2,403,745,691.55
  5. Step 5: Solve for x
    x = 2,403,745,691.55/50,531.53
  6. Step 6: Final answer
    x = 47,569.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.