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Finding the Fourth Proportional to 83,380.50, 125,083.71 and 27,989.46

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Solution

The fourth proportional to 83,380.50, 125,083.71 and 27,989.46 is: 41,988.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,380.50 : 125,083.71 = 27,989.46 : x
  2. Step 2: Convert to fraction form
    83,380.50/125,083.71 = 27,989.46/x
  3. Step 3: Cross multiply
    83,380.50x = 125,083.71 × 27,989.46
  4. Step 4: Simplify right side
    83,380.50x = 3,501,025,497.70
  5. Step 5: Solve for x
    x = 3,501,025,497.70/83,380.50
  6. Step 6: Final answer
    x = 41,988.54

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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.