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Finding the Fourth Proportional to 49,933.38, 68,906.48 and 27,272

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Solution

The fourth proportional to 49,933.38, 68,906.48 and 27,272 is: 37,634.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,933.38 : 68,906.48 = 27,272 : x
  2. Step 2: Convert to fraction form
    49,933.38/68,906.48 = 27,272/x
  3. Step 3: Cross multiply
    49,933.38x = 68,906.48 × 27,272
  4. Step 4: Simplify right side
    49,933.38x = 1,879,217,522.56
  5. Step 5: Solve for x
    x = 1,879,217,522.56/49,933.38
  6. Step 6: Final answer
    x = 37,634.49

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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.