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Finding the Fourth Proportional to 67,105.80, 100,682.19 and 29,660.94

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Solution

The fourth proportional to 67,105.80, 100,682.19 and 29,660.94 is: 44,501.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,105.80 : 100,682.19 = 29,660.94 : x
  2. Step 2: Convert to fraction form
    67,105.80/100,682.19 = 29,660.94/x
  3. Step 3: Cross multiply
    67,105.80x = 100,682.19 × 29,660.94
  4. Step 4: Simplify right side
    67,105.80x = 2,986,328,396.66
  5. Step 5: Solve for x
    x = 2,986,328,396.66/67,105.80
  6. Step 6: Final answer
    x = 44,501.79

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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.