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Finding the Fourth Proportional to 87,589, 120,872.82 and 47,845

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Solution

The fourth proportional to 87,589, 120,872.82 and 47,845 is: 66,026.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,589 : 120,872.82 = 47,845 : x
  2. Step 2: Convert to fraction form
    87,589/120,872.82 = 47,845/x
  3. Step 3: Cross multiply
    87,589x = 120,872.82 × 47,845
  4. Step 4: Simplify right side
    87,589x = 5,783,160,072.90
  5. Step 5: Solve for x
    x = 5,783,160,072.90/87,589
  6. Step 6: Final answer
    x = 66,026.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.