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Finding the Fourth Proportional to 79,683.20, 119,524.88 and 20,519

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Solution

The fourth proportional to 79,683.20, 119,524.88 and 20,519 is: 30,778.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,683.20 : 119,524.88 = 20,519 : x
  2. Step 2: Convert to fraction form
    79,683.20/119,524.88 = 20,519/x
  3. Step 3: Cross multiply
    79,683.20x = 119,524.88 × 20,519
  4. Step 4: Simplify right side
    79,683.20x = 2,452,531,012.72
  5. Step 5: Solve for x
    x = 2,452,531,012.72/79,683.20
  6. Step 6: Final answer
    x = 30,778.52

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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.