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Finding the Fourth Proportional to 49,176.54, 67,863.96 and 27,955.80

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Solution

The fourth proportional to 49,176.54, 67,863.96 and 27,955.80 is: 38,579.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,176.54 : 67,863.96 = 27,955.80 : x
  2. Step 2: Convert to fraction form
    49,176.54/67,863.96 = 27,955.80/x
  3. Step 3: Cross multiply
    49,176.54x = 67,863.96 × 27,955.80
  4. Step 4: Simplify right side
    49,176.54x = 1,897,191,292.97
  5. Step 5: Solve for x
    x = 1,897,191,292.97/49,176.54
  6. Step 6: Final answer
    x = 38,579.19

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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.