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Finding the Fourth Proportional to 30,229.50, 41,741.89 and 25,219.98

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Solution

The fourth proportional to 30,229.50, 41,741.89 and 25,219.98 is: 34,824.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,229.50 : 41,741.89 = 25,219.98 : x
  2. Step 2: Convert to fraction form
    30,229.50/41,741.89 = 25,219.98/x
  3. Step 3: Cross multiply
    30,229.50x = 41,741.89 × 25,219.98
  4. Step 4: Simplify right side
    30,229.50x = 1,052,729,672.27
  5. Step 5: Solve for x
    x = 1,052,729,672.27/30,229.50
  6. Step 6: Final answer
    x = 34,824.59

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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.