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Finding the Fourth Proportional to 50,186.52, 69,257.39 and 27,830.52

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Solution

The fourth proportional to 50,186.52, 69,257.39 and 27,830.52 is: 38,406.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,186.52 : 69,257.39 = 27,830.52 : x
  2. Step 2: Convert to fraction form
    50,186.52/69,257.39 = 27,830.52/x
  3. Step 3: Cross multiply
    50,186.52x = 69,257.39 × 27,830.52
  4. Step 4: Simplify right side
    50,186.52x = 1,927,469,177.54
  5. Step 5: Solve for x
    x = 1,927,469,177.54/50,186.52
  6. Step 6: Final answer
    x = 38,406.11

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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.