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Finding the Fourth Proportional to 49,216.44, 67,911.84 and 27,993.36

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Solution

The fourth proportional to 49,216.44, 67,911.84 and 27,993.36 is: 38,626.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,216.44 : 67,911.84 = 27,993.36 : x
  2. Step 2: Convert to fraction form
    49,216.44/67,911.84 = 27,993.36/x
  3. Step 3: Cross multiply
    49,216.44x = 67,911.84 × 27,993.36
  4. Step 4: Simplify right side
    49,216.44x = 1,901,080,585.38
  5. Step 5: Solve for x
    x = 1,901,080,585.38/49,216.44
  6. Step 6: Final answer
    x = 38,626.94

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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.