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Finding the Fourth Proportional to 49,009.32, 67,634.46 and 27,789.48

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Solution

The fourth proportional to 49,009.32, 67,634.46 and 27,789.48 is: 38,350.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,009.32 : 67,634.46 = 27,789.48 : x
  2. Step 2: Convert to fraction form
    49,009.32/67,634.46 = 27,789.48/x
  3. Step 3: Cross multiply
    49,009.32x = 67,634.46 × 27,789.48
  4. Step 4: Simplify right side
    49,009.32x = 1,879,526,473.48
  5. Step 5: Solve for x
    x = 1,879,526,473.48/49,009.32
  6. Step 6: Final answer
    x = 38,350.39

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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.