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Finding the Fourth Proportional to 50,105.46, 69,145.88 and 27,446.52

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Solution

The fourth proportional to 50,105.46, 69,145.88 and 27,446.52 is: 37,876.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,105.46 : 69,145.88 = 27,446.52 : x
  2. Step 2: Convert to fraction form
    50,105.46/69,145.88 = 27,446.52/x
  3. Step 3: Cross multiply
    50,105.46x = 69,145.88 × 27,446.52
  4. Step 4: Simplify right side
    50,105.46x = 1,897,813,778.34
  5. Step 5: Solve for x
    x = 1,897,813,778.34/50,105.46
  6. Step 6: Final answer
    x = 37,876.39

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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.