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Finding the Fourth Proportional to 27,201.32, 40,793.34 and 8,729

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Solution

The fourth proportional to 27,201.32, 40,793.34 and 8,729 is: 13,090.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,201.32 : 40,793.34 = 8,729 : x
  2. Step 2: Convert to fraction form
    27,201.32/40,793.34 = 8,729/x
  3. Step 3: Cross multiply
    27,201.32x = 40,793.34 × 8,729
  4. Step 4: Simplify right side
    27,201.32x = 356,085,064.86
  5. Step 5: Solve for x
    x = 356,085,064.86/27,201.32
  6. Step 6: Final answer
    x = 13,090.73

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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.