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Finding the Fourth Proportional to 50,200.72, 69,277 and 27,844.72

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Solution

The fourth proportional to 50,200.72, 69,277 and 27,844.72 is: 38,425.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,200.72 : 69,277 = 27,844.72 : x
  2. Step 2: Convert to fraction form
    50,200.72/69,277 = 27,844.72/x
  3. Step 3: Cross multiply
    50,200.72x = 69,277 × 27,844.72
  4. Step 4: Simplify right side
    50,200.72x = 1,928,998,667.44
  5. Step 5: Solve for x
    x = 1,928,998,667.44/50,200.72
  6. Step 6: Final answer
    x = 38,425.72

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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.