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Finding the Fourth Proportional to 80,559.80, 120,782.10 and 36,150.20

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Solution

The fourth proportional to 80,559.80, 120,782.10 and 36,150.20 is: 54,199.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,559.80 : 120,782.10 = 36,150.20 : x
  2. Step 2: Convert to fraction form
    80,559.80/120,782.10 = 36,150.20/x
  3. Step 3: Cross multiply
    80,559.80x = 120,782.10 × 36,150.20
  4. Step 4: Simplify right side
    80,559.80x = 4,366,297,071.42
  5. Step 5: Solve for x
    x = 4,366,297,071.42/80,559.80
  6. Step 6: Final answer
    x = 54,199.45

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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.