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Finding the Fourth Proportional to 72,170.96, 108,278.31 and 32,717.48

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Solution

The fourth proportional to 72,170.96, 108,278.31 and 32,717.48 is: 49,086.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,170.96 : 108,278.31 = 32,717.48 : x
  2. Step 2: Convert to fraction form
    72,170.96/108,278.31 = 32,717.48/x
  3. Step 3: Cross multiply
    72,170.96x = 108,278.31 × 32,717.48
  4. Step 4: Simplify right side
    72,170.96x = 3,542,593,441.86
  5. Step 5: Solve for x
    x = 3,542,593,441.86/72,170.96
  6. Step 6: Final answer
    x = 49,086.13

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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.