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Finding the Fourth Proportional to 49,188.63, 67,879.50 and 27,967.44

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Solution

The fourth proportional to 49,188.63, 67,879.50 and 27,967.44 is: 38,594.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,188.63 : 67,879.50 = 27,967.44 : x
  2. Step 2: Convert to fraction form
    49,188.63/67,879.50 = 27,967.44/x
  3. Step 3: Cross multiply
    49,188.63x = 67,879.50 × 27,967.44
  4. Step 4: Simplify right side
    49,188.63x = 1,898,415,843.48
  5. Step 5: Solve for x
    x = 1,898,415,843.48/49,188.63
  6. Step 6: Final answer
    x = 38,594.61

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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.