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Finding the Fourth Proportional to 50,500.62, 69,690.74 and 27,839.43

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Solution

The fourth proportional to 50,500.62, 69,690.74 and 27,839.43 is: 38,418.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,500.62 : 69,690.74 = 27,839.43 : x
  2. Step 2: Convert to fraction form
    50,500.62/69,690.74 = 27,839.43/x
  3. Step 3: Cross multiply
    50,500.62x = 69,690.74 × 27,839.43
  4. Step 4: Simplify right side
    50,500.62x = 1,940,150,338.68
  5. Step 5: Solve for x
    x = 1,940,150,338.68/50,500.62
  6. Step 6: Final answer
    x = 38,418.35

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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.