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Finding the Fourth Proportional to 47,589, 65,672.82 and 27,717

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Solution

The fourth proportional to 47,589, 65,672.82 and 27,717 is: 38,249.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,589 : 65,672.82 = 27,717 : x
  2. Step 2: Convert to fraction form
    47,589/65,672.82 = 27,717/x
  3. Step 3: Cross multiply
    47,589x = 65,672.82 × 27,717
  4. Step 4: Simplify right side
    47,589x = 1,820,253,551.94
  5. Step 5: Solve for x
    x = 1,820,253,551.94/47,589
  6. Step 6: Final answer
    x = 38,249.46

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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.