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Finding the Fourth Proportional to 83,914.89, 125,842.34 and 27,744.63

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Solution

The fourth proportional to 83,914.89, 125,842.34 and 27,744.63 is: 41,607.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,914.89 : 125,842.34 = 27,744.63 : x
  2. Step 2: Convert to fraction form
    83,914.89/125,842.34 = 27,744.63/x
  3. Step 3: Cross multiply
    83,914.89x = 125,842.34 × 27,744.63
  4. Step 4: Simplify right side
    83,914.89x = 3,491,449,022.91
  5. Step 5: Solve for x
    x = 3,491,449,022.91/83,914.89
  6. Step 6: Final answer
    x = 41,607.03

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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.