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Finding the Fourth Proportional to 34,512.45, 51,769.83 and 9,211.70

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Solution

The fourth proportional to 34,512.45, 51,769.83 and 9,211.70 is: 13,817.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,512.45 : 51,769.83 = 9,211.70 : x
  2. Step 2: Convert to fraction form
    34,512.45/51,769.83 = 9,211.70/x
  3. Step 3: Cross multiply
    34,512.45x = 51,769.83 × 9,211.70
  4. Step 4: Simplify right side
    34,512.45x = 476,887,884.16
  5. Step 5: Solve for x
    x = 476,887,884.16/34,512.45
  6. Step 6: Final answer
    x = 13,817.85

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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.