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Finding the Fourth Proportional to 48,847, 67,408.90 and 26,491

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Solution

The fourth proportional to 48,847, 67,408.90 and 26,491 is: 36,557.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,847 : 67,408.90 = 26,491 : x
  2. Step 2: Convert to fraction form
    48,847/67,408.90 = 26,491/x
  3. Step 3: Cross multiply
    48,847x = 67,408.90 × 26,491
  4. Step 4: Simplify right side
    48,847x = 1,785,729,169.90
  5. Step 5: Solve for x
    x = 1,785,729,169.90/48,847
  6. Step 6: Final answer
    x = 36,557.60

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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.