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Finding the Fourth Proportional to 50,198.71, 69,274.24 and 27,842.71

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Solution

The fourth proportional to 50,198.71, 69,274.24 and 27,842.71 is: 38,422.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,198.71 : 69,274.24 = 27,842.71 : x
  2. Step 2: Convert to fraction form
    50,198.71/69,274.24 = 27,842.71/x
  3. Step 3: Cross multiply
    50,198.71x = 69,274.24 × 27,842.71
  4. Step 4: Simplify right side
    50,198.71x = 1,928,782,574.79
  5. Step 5: Solve for x
    x = 1,928,782,574.79/50,198.71
  6. Step 6: Final answer
    x = 38,422.95

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1.5x scale

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.