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Finding the Fourth Proportional to 33,181.38, 49,772.07 and 9,806.00

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Solution

The fourth proportional to 33,181.38, 49,772.07 and 9,806.00 is: 14,708.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,181.38 : 49,772.07 = 9,806.00 : x
  2. Step 2: Convert to fraction form
    33,181.38/49,772.07 = 9,806.00/x
  3. Step 3: Cross multiply
    33,181.38x = 49,772.07 × 9,806.00
  4. Step 4: Simplify right side
    33,181.38x = 488,064,669.56
  5. Step 5: Solve for x
    x = 488,064,669.56/33,181.38
  6. Step 6: Final answer
    x = 14,708.99

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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.