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Finding the Fourth Proportional to 86,974.76, 120,021.80 and 49,249.10

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Solution

The fourth proportional to 86,974.76, 120,021.80 and 49,249.10 is: 67,961.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,974.76 : 120,021.80 = 49,249.10 : x
  2. Step 2: Convert to fraction form
    86,974.76/120,021.80 = 49,249.10/x
  3. Step 3: Cross multiply
    86,974.76x = 120,021.80 × 49,249.10
  4. Step 4: Simplify right side
    86,974.76x = 5,910,965,630.38
  5. Step 5: Solve for x
    x = 5,910,965,630.38/86,974.76
  6. Step 6: Final answer
    x = 67,961.85

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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.