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Finding the Fourth Proportional to 50,199.82, 69,274.68 and 27,843.82

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Solution

The fourth proportional to 50,199.82, 69,274.68 and 27,843.82 is: 38,423.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,199.82 : 69,274.68 = 27,843.82 : x
  2. Step 2: Convert to fraction form
    50,199.82/69,274.68 = 27,843.82/x
  3. Step 3: Cross multiply
    50,199.82x = 69,274.68 × 27,843.82
  4. Step 4: Simplify right side
    50,199.82x = 1,928,871,720.48
  5. Step 5: Solve for x
    x = 1,928,871,720.48/50,199.82
  6. Step 6: Final answer
    x = 38,423.88

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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.