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Finding the Fourth Proportional to 67,105.70, 100,584.74 and 27,641.29

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Solution

The fourth proportional to 67,105.70, 100,584.74 and 27,641.29 is: 41,431.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,105.70 : 100,584.74 = 27,641.29 : x
  2. Step 2: Convert to fraction form
    67,105.70/100,584.74 = 27,641.29/x
  3. Step 3: Cross multiply
    67,105.70x = 100,584.74 × 27,641.29
  4. Step 4: Simplify right side
    67,105.70x = 2,780,291,967.91
  5. Step 5: Solve for x
    x = 2,780,291,967.91/67,105.70
  6. Step 6: Final answer
    x = 41,431.53

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1.5x scale

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.