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Finding the Fourth Proportional to 80,906.82, 111,578.70 and 50,695.38

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Solution

The fourth proportional to 80,906.82, 111,578.70 and 50,695.38 is: 69,914.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,906.82 : 111,578.70 = 50,695.38 : x
  2. Step 2: Convert to fraction form
    80,906.82/111,578.70 = 50,695.38/x
  3. Step 3: Cross multiply
    80,906.82x = 111,578.70 × 50,695.38
  4. Step 4: Simplify right side
    80,906.82x = 5,656,524,596.41
  5. Step 5: Solve for x
    x = 5,656,524,596.41/80,906.82
  6. Step 6: Final answer
    x = 69,914.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.