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Finding the Fourth Proportional to 71,329.20, 106,996.80 and 24,582.24

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Solution

The fourth proportional to 71,329.20, 106,996.80 and 24,582.24 is: 36,874.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,329.20 : 106,996.80 = 24,582.24 : x
  2. Step 2: Convert to fraction form
    71,329.20/106,996.80 = 24,582.24/x
  3. Step 3: Cross multiply
    71,329.20x = 106,996.80 × 24,582.24
  4. Step 4: Simplify right side
    71,329.20x = 2,630,221,016.83
  5. Step 5: Solve for x
    x = 2,630,221,016.83/71,329.20
  6. Step 6: Final answer
    x = 36,874.39

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1.5x scale

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.