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Finding the Fourth Proportional to 83,493.86, 115,217.24 and 47,676.87

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Solution

The fourth proportional to 83,493.86, 115,217.24 and 47,676.87 is: 65,791.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,493.86 : 115,217.24 = 47,676.87 : x
  2. Step 2: Convert to fraction form
    83,493.86/115,217.24 = 47,676.87/x
  3. Step 3: Cross multiply
    83,493.86x = 115,217.24 × 47,676.87
  4. Step 4: Simplify right side
    83,493.86x = 5,493,197,134.85
  5. Step 5: Solve for x
    x = 5,493,197,134.85/83,493.86
  6. Step 6: Final answer
    x = 65,791.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.