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Finding the Fourth Proportional to 85,814.30, 128,757.90 and 41,418.20

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Solution

The fourth proportional to 85,814.30, 128,757.90 and 41,418.20 is: 62,144.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,814.30 : 128,757.90 = 41,418.20 : x
  2. Step 2: Convert to fraction form
    85,814.30/128,757.90 = 41,418.20/x
  3. Step 3: Cross multiply
    85,814.30x = 128,757.90 × 41,418.20
  4. Step 4: Simplify right side
    85,814.30x = 5,332,920,453.78
  5. Step 5: Solve for x
    x = 5,332,920,453.78/85,814.30
  6. Step 6: Final answer
    x = 62,144.89

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