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Finding the Fourth Proportional to 49,766.76, 68,679.36 and 27,107.04

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Solution

The fourth proportional to 49,766.76, 68,679.36 and 27,107.04 is: 37,408.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,766.76 : 68,679.36 = 27,107.04 : x
  2. Step 2: Convert to fraction form
    49,766.76/68,679.36 = 27,107.04/x
  3. Step 3: Cross multiply
    49,766.76x = 68,679.36 × 27,107.04
  4. Step 4: Simplify right side
    49,766.76x = 1,861,694,158.69
  5. Step 5: Solve for x
    x = 1,861,694,158.69/49,766.76
  6. Step 6: Final answer
    x = 37,408.39

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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.