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Finding the Fourth Proportional to 27,161.52, 40,742.28 and 8,694.96

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Solution

The fourth proportional to 27,161.52, 40,742.28 and 8,694.96 is: 13,042.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,161.52 : 40,742.28 = 8,694.96 : x
  2. Step 2: Convert to fraction form
    27,161.52/40,742.28 = 8,694.96/x
  3. Step 3: Cross multiply
    27,161.52x = 40,742.28 × 8,694.96
  4. Step 4: Simplify right side
    27,161.52x = 354,252,494.91
  5. Step 5: Solve for x
    x = 354,252,494.91/27,161.52
  6. Step 6: Final answer
    x = 13,042.44

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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.