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Finding the Fourth Proportional to 33,198.19, 49,807.04 and 9,825.23

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Solution

The fourth proportional to 33,198.19, 49,807.04 and 9,825.23 is: 14,740.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,198.19 : 49,807.04 = 9,825.23 : x
  2. Step 2: Convert to fraction form
    33,198.19/49,807.04 = 9,825.23/x
  3. Step 3: Cross multiply
    33,198.19x = 49,807.04 × 9,825.23
  4. Step 4: Simplify right side
    33,198.19x = 489,365,699.01
  5. Step 5: Solve for x
    x = 489,365,699.01/33,198.19
  6. Step 6: Final answer
    x = 14,740.74

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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.