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Finding the Fourth Proportional to 50,198.87, 69,274.98 and 27,537.91

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Solution

The fourth proportional to 50,198.87, 69,274.98 and 27,537.91 is: 38,002.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,198.87 : 69,274.98 = 27,537.91 : x
  2. Step 2: Convert to fraction form
    50,198.87/69,274.98 = 27,537.91/x
  3. Step 3: Cross multiply
    50,198.87x = 69,274.98 × 27,537.91
  4. Step 4: Simplify right side
    50,198.87x = 1,907,687,680.43
  5. Step 5: Solve for x
    x = 1,907,687,680.43/50,198.87
  6. Step 6: Final answer
    x = 38,002.60

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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.