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Finding the Fourth Proportional to 33,078.66, 49,618.80 and 9,705.03

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Solution

The fourth proportional to 33,078.66, 49,618.80 and 9,705.03 is: 14,557.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,078.66 : 49,618.80 = 9,705.03 : x
  2. Step 2: Convert to fraction form
    33,078.66/49,618.80 = 9,705.03/x
  3. Step 3: Cross multiply
    33,078.66x = 49,618.80 × 9,705.03
  4. Step 4: Simplify right side
    33,078.66x = 481,551,942.56
  5. Step 5: Solve for x
    x = 481,551,942.56/33,078.66
  6. Step 6: Final answer
    x = 14,557.78

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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.