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Finding the Fourth Proportional to 27,589, 41,387.82 and 9,125.32

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Solution

The fourth proportional to 27,589, 41,387.82 and 9,125.32 is: 13,689.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,589 : 41,387.82 = 9,125.32 : x
  2. Step 2: Convert to fraction form
    27,589/41,387.82 = 9,125.32/x
  3. Step 3: Cross multiply
    27,589x = 41,387.82 × 9,125.32
  4. Step 4: Simplify right side
    27,589x = 377,677,101.60
  5. Step 5: Solve for x
    x = 377,677,101.60/27,589
  6. Step 6: Final answer
    x = 13,689.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.