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Finding the Fourth Proportional to 51,825.99, 71,519.07 and 29,163.21

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Solution

The fourth proportional to 51,825.99, 71,519.07 and 29,163.21 is: 40,244.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,825.99 : 71,519.07 = 29,163.21 : x
  2. Step 2: Convert to fraction form
    51,825.99/71,519.07 = 29,163.21/x
  3. Step 3: Cross multiply
    51,825.99x = 71,519.07 × 29,163.21
  4. Step 4: Simplify right side
    51,825.99x = 2,085,725,657.41
  5. Step 5: Solve for x
    x = 2,085,725,657.41/51,825.99
  6. Step 6: Final answer
    x = 40,244.78

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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.