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Finding the Fourth Proportional to 27,847.30, 41,770.85 and 6,787.10

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Solution

The fourth proportional to 27,847.30, 41,770.85 and 6,787.10 is: 10,180.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,847.30 : 41,770.85 = 6,787.10 : x
  2. Step 2: Convert to fraction form
    27,847.30/41,770.85 = 6,787.10/x
  3. Step 3: Cross multiply
    27,847.30x = 41,770.85 × 6,787.10
  4. Step 4: Simplify right side
    27,847.30x = 283,502,936.04
  5. Step 5: Solve for x
    x = 283,502,936.04/27,847.30
  6. Step 6: Final answer
    x = 10,180.63

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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.