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Finding the Fourth Proportional to 80,592.25, 120,908.88 and 47,340.44

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Solution

The fourth proportional to 80,592.25, 120,908.88 and 47,340.44 is: 71,022.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,592.25 : 120,908.88 = 47,340.44 : x
  2. Step 2: Convert to fraction form
    80,592.25/120,908.88 = 47,340.44/x
  3. Step 3: Cross multiply
    80,592.25x = 120,908.88 × 47,340.44
  4. Step 4: Simplify right side
    80,592.25x = 5,723,879,579.11
  5. Step 5: Solve for x
    x = 5,723,879,579.11/80,592.25
  6. Step 6: Final answer
    x = 71,022.70

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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.