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Finding the Fourth Proportional to 83,846.90, 125,743.62 and 27,676.56

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Solution

The fourth proportional to 83,846.90, 125,743.62 and 27,676.56 is: 41,506.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,846.90 : 125,743.62 = 27,676.56 : x
  2. Step 2: Convert to fraction form
    83,846.90/125,743.62 = 27,676.56/x
  3. Step 3: Cross multiply
    83,846.90x = 125,743.62 × 27,676.56
  4. Step 4: Simplify right side
    83,846.90x = 3,480,150,843.55
  5. Step 5: Solve for x
    x = 3,480,150,843.55/83,846.90
  6. Step 6: Final answer
    x = 41,506.02

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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.