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Finding the Fourth Proportional to 71,727.40, 107,558.70 and 32,264.20

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Solution

The fourth proportional to 71,727.40, 107,558.70 and 32,264.20 is: 48,381.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,727.40 : 107,558.70 = 32,264.20 : x
  2. Step 2: Convert to fraction form
    71,727.40/107,558.70 = 32,264.20/x
  3. Step 3: Cross multiply
    71,727.40x = 107,558.70 × 32,264.20
  4. Step 4: Simplify right side
    71,727.40x = 3,470,295,408.54
  5. Step 5: Solve for x
    x = 3,470,295,408.54/71,727.40
  6. Step 6: Final answer
    x = 48,381.73

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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.