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Finding the Fourth Proportional to 33,098.98, 49,632.30 and 11,744.46

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Solution

The fourth proportional to 33,098.98, 49,632.30 and 11,744.46 is: 17,610.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,098.98 : 49,632.30 = 11,744.46 : x
  2. Step 2: Convert to fraction form
    33,098.98/49,632.30 = 11,744.46/x
  3. Step 3: Cross multiply
    33,098.98x = 49,632.30 × 11,744.46
  4. Step 4: Simplify right side
    33,098.98x = 582,904,562.06
  5. Step 5: Solve for x
    x = 582,904,562.06/33,098.98
  6. Step 6: Final answer
    x = 17,610.95

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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.