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Finding the Fourth Proportional to 81,909.48, 122,706.62 and 50,227.06

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Solution

The fourth proportional to 81,909.48, 122,706.62 and 50,227.06 is: 75,243.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,909.48 : 122,706.62 = 50,227.06 : x
  2. Step 2: Convert to fraction form
    81,909.48/122,706.62 = 50,227.06/x
  3. Step 3: Cross multiply
    81,909.48x = 122,706.62 × 50,227.06
  4. Step 4: Simplify right side
    81,909.48x = 6,163,192,765.14
  5. Step 5: Solve for x
    x = 6,163,192,765.14/81,909.48
  6. Step 6: Final answer
    x = 75,243.95

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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.