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Finding the Fourth Proportional to 33,198.69, 49,807.79 and 9,825.74

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Solution

The fourth proportional to 33,198.69, 49,807.79 and 9,825.74 is: 14,741.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,198.69 : 49,807.79 = 9,825.74 : x
  2. Step 2: Convert to fraction form
    33,198.69/49,807.79 = 9,825.74/x
  3. Step 3: Cross multiply
    33,198.69x = 49,807.79 × 9,825.74
  4. Step 4: Simplify right side
    33,198.69x = 489,398,096.35
  5. Step 5: Solve for x
    x = 489,398,096.35/33,198.69
  6. Step 6: Final answer
    x = 14,741.49

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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.