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Finding the Fourth Proportional to 49,355.42, 68,110.49 and 27,849.73

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Solution

The fourth proportional to 49,355.42, 68,110.49 and 27,849.73 is: 38,432.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,355.42 : 68,110.49 = 27,849.73 : x
  2. Step 2: Convert to fraction form
    49,355.42/68,110.49 = 27,849.73/x
  3. Step 3: Cross multiply
    49,355.42x = 68,110.49 × 27,849.73
  4. Step 4: Simplify right side
    49,355.42x = 1,896,858,783.72
  5. Step 5: Solve for x
    x = 1,896,858,783.72/49,355.42
  6. Step 6: Final answer
    x = 38,432.63

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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.