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Finding the Fourth Proportional to 33,223.14, 49,826.22 and 9,844.11

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Solution

The fourth proportional to 33,223.14, 49,826.22 and 9,844.11 is: 14,763.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,223.14 : 49,826.22 = 9,844.11 : x
  2. Step 2: Convert to fraction form
    33,223.14/49,826.22 = 9,844.11/x
  3. Step 3: Cross multiply
    33,223.14x = 49,826.22 × 9,844.11
  4. Step 4: Simplify right side
    33,223.14x = 490,494,790.56
  5. Step 5: Solve for x
    x = 490,494,790.56/33,223.14
  6. Step 6: Final answer
    x = 14,763.65

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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.