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Finding the Fourth Proportional to 33,208.28, 49,812.33 and 9,836.54

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Solution

The fourth proportional to 33,208.28, 49,812.33 and 9,836.54 is: 14,754.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,208.28 : 49,812.33 = 9,836.54 : x
  2. Step 2: Convert to fraction form
    33,208.28/49,812.33 = 9,836.54/x
  3. Step 3: Cross multiply
    33,208.28x = 49,812.33 × 9,836.54
  4. Step 4: Simplify right side
    33,208.28x = 489,980,976.54
  5. Step 5: Solve for x
    x = 489,980,976.54/33,208.28
  6. Step 6: Final answer
    x = 14,754.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.