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Finding the Fourth Proportional to 33,201.70, 49,809.84 and 9,829.96

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Solution

The fourth proportional to 33,201.70, 49,809.84 and 9,829.96 is: 14,747.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,201.70 : 49,809.84 = 9,829.96 : x
  2. Step 2: Convert to fraction form
    33,201.70/49,809.84 = 9,829.96/x
  3. Step 3: Cross multiply
    33,201.70x = 49,809.84 × 9,829.96
  4. Step 4: Simplify right side
    33,201.70x = 489,628,573.42
  5. Step 5: Solve for x
    x = 489,628,573.42/33,201.70
  6. Step 6: Final answer
    x = 14,747.09

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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.