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Finding the Fourth Proportional to 67,817.40, 101,697.30 and 32,767.80

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Solution

The fourth proportional to 67,817.40, 101,697.30 and 32,767.80 is: 49,137.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,817.40 : 101,697.30 = 32,767.80 : x
  2. Step 2: Convert to fraction form
    67,817.40/101,697.30 = 32,767.80/x
  3. Step 3: Cross multiply
    67,817.40x = 101,697.30 × 32,767.80
  4. Step 4: Simplify right side
    67,817.40x = 3,332,396,786.94
  5. Step 5: Solve for x
    x = 3,332,396,786.94/67,817.40
  6. Step 6: Final answer
    x = 49,137.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.