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Finding the Fourth Proportional to 50,198.36, 69,275.24 and 27,841.88

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Solution

The fourth proportional to 50,198.36, 69,275.24 and 27,841.88 is: 38,422.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,198.36 : 69,275.24 = 27,841.88 : x
  2. Step 2: Convert to fraction form
    50,198.36/69,275.24 = 27,841.88/x
  3. Step 3: Cross multiply
    50,198.36x = 69,275.24 × 27,841.88
  4. Step 4: Simplify right side
    50,198.36x = 1,928,752,433.47
  5. Step 5: Solve for x
    x = 1,928,752,433.47/50,198.36
  6. Step 6: Final answer
    x = 38,422.62

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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.