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Finding the Fourth Proportional to 81,912.84, 122,711.70 and 50,230.42

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Solution

The fourth proportional to 81,912.84, 122,711.70 and 50,230.42 is: 75,249.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,912.84 : 122,711.70 = 50,230.42 : x
  2. Step 2: Convert to fraction form
    81,912.84/122,711.70 = 50,230.42/x
  3. Step 3: Cross multiply
    81,912.84x = 122,711.70 × 50,230.42
  4. Step 4: Simplify right side
    81,912.84x = 6,163,860,229.91
  5. Step 5: Solve for x
    x = 6,163,860,229.91/81,912.84
  6. Step 6: Final answer
    x = 75,249.01

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Why These Related Problems?

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