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Finding the Fourth Proportional to 31,993.10, 47,861.49 and 27,657.26

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Solution

The fourth proportional to 31,993.10, 47,861.49 and 27,657.26 is: 41,375.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,993.10 : 47,861.49 = 27,657.26 : x
  2. Step 2: Convert to fraction form
    31,993.10/47,861.49 = 27,657.26/x
  3. Step 3: Cross multiply
    31,993.10x = 47,861.49 × 27,657.26
  4. Step 4: Simplify right side
    31,993.10x = 1,323,717,672.92
  5. Step 5: Solve for x
    x = 1,323,717,672.92/31,993.10
  6. Step 6: Final answer
    x = 41,375.10

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