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Finding the Fourth Proportional to 49,378.85, 68,144.54 and 27,873.80

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Solution

The fourth proportional to 49,378.85, 68,144.54 and 27,873.80 is: 38,466.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,378.85 : 68,144.54 = 27,873.80 : x
  2. Step 2: Convert to fraction form
    49,378.85/68,144.54 = 27,873.80/x
  3. Step 3: Cross multiply
    49,378.85x = 68,144.54 × 27,873.80
  4. Step 4: Simplify right side
    49,378.85x = 1,899,447,594.61
  5. Step 5: Solve for x
    x = 1,899,447,594.61/49,378.85
  6. Step 6: Final answer
    x = 38,466.83

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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.