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Finding the Fourth Proportional to 33,198.54, 49,808.25 and 9,825.18

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Solution

The fourth proportional to 33,198.54, 49,808.25 and 9,825.18 is: 14,740.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,198.54 : 49,808.25 = 9,825.18 : x
  2. Step 2: Convert to fraction form
    33,198.54/49,808.25 = 9,825.18/x
  3. Step 3: Cross multiply
    33,198.54x = 49,808.25 × 9,825.18
  4. Step 4: Simplify right side
    33,198.54x = 489,375,021.74
  5. Step 5: Solve for x
    x = 489,375,021.74/33,198.54
  6. Step 6: Final answer
    x = 14,740.86

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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.