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Finding the Fourth Proportional to 48,638, 67,120.44 and 26,282

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Solution

The fourth proportional to 48,638, 67,120.44 and 26,282 is: 36,269.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,638 : 67,120.44 = 26,282 : x
  2. Step 2: Convert to fraction form
    48,638/67,120.44 = 26,282/x
  3. Step 3: Cross multiply
    48,638x = 67,120.44 × 26,282
  4. Step 4: Simplify right side
    48,638x = 1,764,059,404.08
  5. Step 5: Solve for x
    x = 1,764,059,404.08/48,638
  6. Step 6: Final answer
    x = 36,269.16

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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.