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Finding the Fourth Proportional to 33,228.27, 49,785.98 and 20,052.96

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Solution

The fourth proportional to 33,228.27, 49,785.98 and 20,052.96 is: 30,045.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,228.27 : 49,785.98 = 20,052.96 : x
  2. Step 2: Convert to fraction form
    33,228.27/49,785.98 = 20,052.96/x
  3. Step 3: Cross multiply
    33,228.27x = 49,785.98 × 20,052.96
  4. Step 4: Simplify right side
    33,228.27x = 998,356,265.50
  5. Step 5: Solve for x
    x = 998,356,265.50/33,228.27
  6. Step 6: Final answer
    x = 30,045.39

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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.