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Finding the Fourth Proportional to 66,814.29, 100,221.33 and 27,371.46

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Solution

The fourth proportional to 66,814.29, 100,221.33 and 27,371.46 is: 41,057.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,814.29 : 100,221.33 = 27,371.46 : x
  2. Step 2: Convert to fraction form
    66,814.29/100,221.33 = 27,371.46/x
  3. Step 3: Cross multiply
    66,814.29x = 100,221.33 × 27,371.46
  4. Step 4: Simplify right side
    66,814.29x = 2,743,204,125.24
  5. Step 5: Solve for x
    x = 2,743,204,125.24/66,814.29
  6. Step 6: Final answer
    x = 41,057.15

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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.