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Finding the Fourth Proportional to 48,902.40, 67,478.40 and 27,680.40

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Solution

The fourth proportional to 48,902.40, 67,478.40 and 27,680.40 is: 38,195.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,902.40 : 67,478.40 = 27,680.40 : x
  2. Step 2: Convert to fraction form
    48,902.40/67,478.40 = 27,680.40/x
  3. Step 3: Cross multiply
    48,902.40x = 67,478.40 × 27,680.40
  4. Step 4: Simplify right side
    48,902.40x = 1,867,829,103.36
  5. Step 5: Solve for x
    x = 1,867,829,103.36/48,902.40
  6. Step 6: Final answer
    x = 38,195.04

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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.