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Finding the Fourth Proportional to 50,185.44, 69,251.76 and 27,524

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Solution

The fourth proportional to 50,185.44, 69,251.76 and 27,524 is: 37,980.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,185.44 : 69,251.76 = 27,524 : x
  2. Step 2: Convert to fraction form
    50,185.44/69,251.76 = 27,524/x
  3. Step 3: Cross multiply
    50,185.44x = 69,251.76 × 27,524
  4. Step 4: Simplify right side
    50,185.44x = 1,906,085,442.24
  5. Step 5: Solve for x
    x = 1,906,085,442.24/50,185.44
  6. Step 6: Final answer
    x = 37,980.85

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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.