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Finding the Fourth Proportional to 27,097.64, 40,650.34 and 8,379.12

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Solution

The fourth proportional to 27,097.64, 40,650.34 and 8,379.12 is: 12,569.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,097.64 : 40,650.34 = 8,379.12 : x
  2. Step 2: Convert to fraction form
    27,097.64/40,650.34 = 8,379.12/x
  3. Step 3: Cross multiply
    27,097.64x = 40,650.34 × 8,379.12
  4. Step 4: Simplify right side
    27,097.64x = 340,614,076.90
  5. Step 5: Solve for x
    x = 340,614,076.90/27,097.64
  6. Step 6: Final answer
    x = 12,569.88

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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.