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Finding the Fourth Proportional to 55,216.26, 82,824.03 and 33,035.85

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Solution

The fourth proportional to 55,216.26, 82,824.03 and 33,035.85 is: 49,553.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,216.26 : 82,824.03 = 33,035.85 : x
  2. Step 2: Convert to fraction form
    55,216.26/82,824.03 = 33,035.85/x
  3. Step 3: Cross multiply
    55,216.26x = 82,824.03 × 33,035.85
  4. Step 4: Simplify right side
    55,216.26x = 2,736,162,231.48
  5. Step 5: Solve for x
    x = 2,736,162,231.48/55,216.26
  6. Step 6: Final answer
    x = 49,553.56

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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.