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Finding the Fourth Proportional to 49,498.49, 68,311.86 and 27,992.77

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Solution

The fourth proportional to 49,498.49, 68,311.86 and 27,992.77 is: 38,632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,498.49 : 68,311.86 = 27,992.77 : x
  2. Step 2: Convert to fraction form
    49,498.49/68,311.86 = 27,992.77/x
  3. Step 3: Cross multiply
    49,498.49x = 68,311.86 × 27,992.77
  4. Step 4: Simplify right side
    49,498.49x = 1,912,237,843.69
  5. Step 5: Solve for x
    x = 1,912,237,843.69/49,498.49
  6. Step 6: Final answer
    x = 38,632.25

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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.