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Finding the Fourth Proportional to 34,287.80, 51,431.70 and 27,375.80

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Solution

The fourth proportional to 34,287.80, 51,431.70 and 27,375.80 is: 41,063.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,287.80 : 51,431.70 = 27,375.80 : x
  2. Step 2: Convert to fraction form
    34,287.80/51,431.70 = 27,375.80/x
  3. Step 3: Cross multiply
    34,287.80x = 51,431.70 × 27,375.80
  4. Step 4: Simplify right side
    34,287.80x = 1,407,983,932.86
  5. Step 5: Solve for x
    x = 1,407,983,932.86/34,287.80
  6. Step 6: Final answer
    x = 41,063.70

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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.