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Finding the Fourth Proportional to 33,009.84, 49,511.25 and 9,316.80

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Solution

The fourth proportional to 33,009.84, 49,511.25 and 9,316.80 is: 13,974.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,009.84 : 49,511.25 = 9,316.80 : x
  2. Step 2: Convert to fraction form
    33,009.84/49,511.25 = 9,316.80/x
  3. Step 3: Cross multiply
    33,009.84x = 49,511.25 × 9,316.80
  4. Step 4: Simplify right side
    33,009.84x = 461,286,414.00
  5. Step 5: Solve for x
    x = 461,286,414.00/33,009.84
  6. Step 6: Final answer
    x = 13,974.21

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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.