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Finding the Fourth Proportional to 83,814.70, 125,748.29 and 27,694.24

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Solution

The fourth proportional to 83,814.70, 125,748.29 and 27,694.24 is: 41,550.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,814.70 : 125,748.29 = 27,694.24 : x
  2. Step 2: Convert to fraction form
    83,814.70/125,748.29 = 27,694.24/x
  3. Step 3: Cross multiply
    83,814.70x = 125,748.29 × 27,694.24
  4. Step 4: Simplify right side
    83,814.70x = 3,482,503,322.85
  5. Step 5: Solve for x
    x = 3,482,503,322.85/83,814.70
  6. Step 6: Final answer
    x = 41,550.03

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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.