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Finding the Fourth Proportional to 68,382.32, 102,514.60 and 26,819.44

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Solution

The fourth proportional to 68,382.32, 102,514.60 and 26,819.44 is: 40,206.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,382.32 : 102,514.60 = 26,819.44 : x
  2. Step 2: Convert to fraction form
    68,382.32/102,514.60 = 26,819.44/x
  3. Step 3: Cross multiply
    68,382.32x = 102,514.60 × 26,819.44
  4. Step 4: Simplify right side
    68,382.32x = 2,749,384,163.82
  5. Step 5: Solve for x
    x = 2,749,384,163.82/68,382.32
  6. Step 6: Final answer
    x = 40,206.07

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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.