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Finding the Fourth Proportional to 80,466.80, 120,714.60 and 33,724.40

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Solution

The fourth proportional to 80,466.80, 120,714.60 and 33,724.40 is: 50,592.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,466.80 : 120,714.60 = 33,724.40 : x
  2. Step 2: Convert to fraction form
    80,466.80/120,714.60 = 33,724.40/x
  3. Step 3: Cross multiply
    80,466.80x = 120,714.60 × 33,724.40
  4. Step 4: Simplify right side
    80,466.80x = 4,071,027,456.24
  5. Step 5: Solve for x
    x = 4,071,027,456.24/80,466.80
  6. Step 6: Final answer
    x = 50,592.64

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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.