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Finding the Fourth Proportional to 41,322.26, 61,982.84 and 10,157.78

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Solution

The fourth proportional to 41,322.26, 61,982.84 and 10,157.78 is: 15,236.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,322.26 : 61,982.84 = 10,157.78 : x
  2. Step 2: Convert to fraction form
    41,322.26/61,982.84 = 10,157.78/x
  3. Step 3: Cross multiply
    41,322.26x = 61,982.84 × 10,157.78
  4. Step 4: Simplify right side
    41,322.26x = 629,608,052.50
  5. Step 5: Solve for x
    x = 629,608,052.50/41,322.26
  6. Step 6: Final answer
    x = 15,236.53

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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.