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Finding the Fourth Proportional to 34,471.26, 51,706.89 and 11,099.52

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Solution

The fourth proportional to 34,471.26, 51,706.89 and 11,099.52 is: 16,649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,471.26 : 51,706.89 = 11,099.52 : x
  2. Step 2: Convert to fraction form
    34,471.26/51,706.89 = 11,099.52/x
  3. Step 3: Cross multiply
    34,471.26x = 51,706.89 × 11,099.52
  4. Step 4: Simplify right side
    34,471.26x = 573,921,659.69
  5. Step 5: Solve for x
    x = 573,921,659.69/34,471.26
  6. Step 6: Final answer
    x = 16,649.28

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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.