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Finding the Fourth Proportional to 48,864, 67,432.68 and 26,508

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Solution

The fourth proportional to 48,864, 67,432.68 and 26,508 is: 36,581.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,864 : 67,432.68 = 26,508 : x
  2. Step 2: Convert to fraction form
    48,864/67,432.68 = 26,508/x
  3. Step 3: Cross multiply
    48,864x = 67,432.68 × 26,508
  4. Step 4: Simplify right side
    48,864x = 1,787,505,481.44
  5. Step 5: Solve for x
    x = 1,787,505,481.44/48,864
  6. Step 6: Final answer
    x = 36,581.24

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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.