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Finding the Fourth Proportional to 80,467.80, 120,701.70 and 51,016.20

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Solution

The fourth proportional to 80,467.80, 120,701.70 and 51,016.20 is: 76,524.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,467.80 : 120,701.70 = 51,016.20 : x
  2. Step 2: Convert to fraction form
    80,467.80/120,701.70 = 51,016.20/x
  3. Step 3: Cross multiply
    80,467.80x = 120,701.70 × 51,016.20
  4. Step 4: Simplify right side
    80,467.80x = 6,157,742,067.54
  5. Step 5: Solve for x
    x = 6,157,742,067.54/80,467.80
  6. Step 6: Final answer
    x = 76,524.30

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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.