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Finding the Fourth Proportional to 80,486.80, 120,746.40 and 27,885.40

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Solution

The fourth proportional to 80,486.80, 120,746.40 and 27,885.40 is: 41,833.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,486.80 : 120,746.40 = 27,885.40 : x
  2. Step 2: Convert to fraction form
    80,486.80/120,746.40 = 27,885.40/x
  3. Step 3: Cross multiply
    80,486.80x = 120,746.40 × 27,885.40
  4. Step 4: Simplify right side
    80,486.80x = 3,367,061,662.56
  5. Step 5: Solve for x
    x = 3,367,061,662.56/80,486.80
  6. Step 6: Final answer
    x = 41,833.71

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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.