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Finding the Fourth Proportional to 49,176.62, 67,863.96 and 27,960.32

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Solution

The fourth proportional to 49,176.62, 67,863.96 and 27,960.32 is: 38,585.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,176.62 : 67,863.96 = 27,960.32 : x
  2. Step 2: Convert to fraction form
    49,176.62/67,863.96 = 27,960.32/x
  3. Step 3: Cross multiply
    49,176.62x = 67,863.96 × 27,960.32
  4. Step 4: Simplify right side
    49,176.62x = 1,897,498,038.07
  5. Step 5: Solve for x
    x = 1,897,498,038.07/49,176.62
  6. Step 6: Final answer
    x = 38,585.37

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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.