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Finding the Fourth Proportional to 34,512.44, 51,770.84 and 9,211.48

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Solution

The fourth proportional to 34,512.44, 51,770.84 and 9,211.48 is: 13,817.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,512.44 : 51,770.84 = 9,211.48 : x
  2. Step 2: Convert to fraction form
    34,512.44/51,770.84 = 9,211.48/x
  3. Step 3: Cross multiply
    34,512.44x = 51,770.84 × 9,211.48
  4. Step 4: Simplify right side
    34,512.44x = 476,886,057.24
  5. Step 5: Solve for x
    x = 476,886,057.24/34,512.44
  6. Step 6: Final answer
    x = 13,817.80

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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.