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Finding the Fourth Proportional to 49,478.44, 68,283.57 and 27,960.73

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Solution

The fourth proportional to 49,478.44, 68,283.57 and 27,960.73 is: 38,587.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,478.44 : 68,283.57 = 27,960.73 : x
  2. Step 2: Convert to fraction form
    49,478.44/68,283.57 = 27,960.73/x
  3. Step 3: Cross multiply
    49,478.44x = 68,283.57 × 27,960.73
  4. Step 4: Simplify right side
    49,478.44x = 1,909,258,464.21
  5. Step 5: Solve for x
    x = 1,909,258,464.21/49,478.44
  6. Step 6: Final answer
    x = 38,587.69

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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.