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Finding the Fourth Proportional to 49,797.71, 68,719.08 and 27,993.32

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Solution

The fourth proportional to 49,797.71, 68,719.08 and 27,993.32 is: 38,629.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,797.71 : 68,719.08 = 27,993.32 : x
  2. Step 2: Convert to fraction form
    49,797.71/68,719.08 = 27,993.32/x
  3. Step 3: Cross multiply
    49,797.71x = 68,719.08 × 27,993.32
  4. Step 4: Simplify right side
    49,797.71x = 1,923,675,196.55
  5. Step 5: Solve for x
    x = 1,923,675,196.55/49,797.71
  6. Step 6: Final answer
    x = 38,629.79

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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.