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Finding the Fourth Proportional to 49,143.68, 67,815.72 and 27,920

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Solution

The fourth proportional to 49,143.68, 67,815.72 and 27,920 is: 38,528.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,143.68 : 67,815.72 = 27,920 : x
  2. Step 2: Convert to fraction form
    49,143.68/67,815.72 = 27,920/x
  3. Step 3: Cross multiply
    49,143.68x = 67,815.72 × 27,920
  4. Step 4: Simplify right side
    49,143.68x = 1,893,414,902.40
  5. Step 5: Solve for x
    x = 1,893,414,902.40/49,143.68
  6. Step 6: Final answer
    x = 38,528.15

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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.