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Finding the Fourth Proportional to 49,894.75, 68,854.85 and 27,538.75

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Solution

The fourth proportional to 49,894.75, 68,854.85 and 27,538.75 is: 38,003.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,894.75 : 68,854.85 = 27,538.75 : x
  2. Step 2: Convert to fraction form
    49,894.75/68,854.85 = 27,538.75/x
  3. Step 3: Cross multiply
    49,894.75x = 68,854.85 × 27,538.75
  4. Step 4: Simplify right side
    49,894.75x = 1,896,176,500.44
  5. Step 5: Solve for x
    x = 1,896,176,500.44/49,894.75
  6. Step 6: Final answer
    x = 38,003.53

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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.