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Finding the Fourth Proportional to 83,989.50, 125,997.21 and 31,406.46

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Solution

The fourth proportional to 83,989.50, 125,997.21 and 31,406.46 is: 47,114.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,989.50 : 125,997.21 = 31,406.46 : x
  2. Step 2: Convert to fraction form
    83,989.50/125,997.21 = 31,406.46/x
  3. Step 3: Cross multiply
    83,989.50x = 125,997.21 × 31,406.46
  4. Step 4: Simplify right side
    83,989.50x = 3,957,126,335.98
  5. Step 5: Solve for x
    x = 3,957,126,335.98/83,989.50
  6. Step 6: Final answer
    x = 47,114.54

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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.