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Finding the Fourth Proportional to 71,226.27, 106,891.90 and 33,786.45

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Solution

The fourth proportional to 71,226.27, 106,891.90 and 33,786.45 is: 50,704.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,226.27 : 106,891.90 = 33,786.45 : x
  2. Step 2: Convert to fraction form
    71,226.27/106,891.90 = 33,786.45/x
  3. Step 3: Cross multiply
    71,226.27x = 106,891.90 × 33,786.45
  4. Step 4: Simplify right side
    71,226.27x = 3,611,497,750.29
  5. Step 5: Solve for x
    x = 3,611,497,750.29/71,226.27
  6. Step 6: Final answer
    x = 50,704.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.