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Finding the Fourth Proportional to 80,595.75, 120,914.13 and 47,343.95

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Solution

The fourth proportional to 80,595.75, 120,914.13 and 47,343.95 is: 71,027.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,595.75 : 120,914.13 = 47,343.95 : x
  2. Step 2: Convert to fraction form
    80,595.75/120,914.13 = 47,343.95/x
  3. Step 3: Cross multiply
    80,595.75x = 120,914.13 × 47,343.95
  4. Step 4: Simplify right side
    80,595.75x = 5,724,551,920.44
  5. Step 5: Solve for x
    x = 5,724,551,920.44/80,595.75
  6. Step 6: Final answer
    x = 71,027.96

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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.