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Finding the Fourth Proportional to 80,532.66, 120,820.88 and 27,946.25

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Solution

The fourth proportional to 80,532.66, 120,820.88 and 27,946.25 is: 41,926.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,532.66 : 120,820.88 = 27,946.25 : x
  2. Step 2: Convert to fraction form
    80,532.66/120,820.88 = 27,946.25/x
  3. Step 3: Cross multiply
    80,532.66x = 120,820.88 × 27,946.25
  4. Step 4: Simplify right side
    80,532.66x = 3,376,490,436.54
  5. Step 5: Solve for x
    x = 3,376,490,436.54/80,532.66
  6. Step 6: Final answer
    x = 41,926.97

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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.