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Finding the Fourth Proportional to 67,081.17, 100,642.83 and 27,656.85

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Solution

The fourth proportional to 67,081.17, 100,642.83 and 27,656.85 is: 41,493.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,081.17 : 100,642.83 = 27,656.85 : x
  2. Step 2: Convert to fraction form
    67,081.17/100,642.83 = 27,656.85/x
  3. Step 3: Cross multiply
    67,081.17x = 100,642.83 × 27,656.85
  4. Step 4: Simplify right side
    67,081.17x = 2,783,463,652.89
  5. Step 5: Solve for x
    x = 2,783,463,652.89/67,081.17
  6. Step 6: Final answer
    x = 41,493.96

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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.