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Finding the Fourth Proportional to 50,640.21, 75,952.32 and 31,862.76

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Solution

The fourth proportional to 50,640.21, 75,952.32 and 31,862.76 is: 47,789.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,640.21 : 75,952.32 = 31,862.76 : x
  2. Step 2: Convert to fraction form
    50,640.21/75,952.32 = 31,862.76/x
  3. Step 3: Cross multiply
    50,640.21x = 75,952.32 × 31,862.76
  4. Step 4: Simplify right side
    50,640.21x = 2,420,050,543.60
  5. Step 5: Solve for x
    x = 2,420,050,543.60/50,640.21
  6. Step 6: Final answer
    x = 47,789.11

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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.