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Finding the Fourth Proportional to 80,231.60, 120,348.74 and 30,335.33

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Solution

The fourth proportional to 80,231.60, 120,348.74 and 30,335.33 is: 45,503.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,231.60 : 120,348.74 = 30,335.33 : x
  2. Step 2: Convert to fraction form
    80,231.60/120,348.74 = 30,335.33/x
  3. Step 3: Cross multiply
    80,231.60x = 120,348.74 × 30,335.33
  4. Step 4: Simplify right side
    80,231.60x = 3,650,818,217.08
  5. Step 5: Solve for x
    x = 3,650,818,217.08/80,231.60
  6. Step 6: Final answer
    x = 45,503.50

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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.