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Finding the Fourth Proportional to 33,083.77, 49,632.81 and 10,896.07

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Solution

The fourth proportional to 33,083.77, 49,632.81 and 10,896.07 is: 16,346.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,083.77 : 49,632.81 = 10,896.07 : x
  2. Step 2: Convert to fraction form
    33,083.77/49,632.81 = 10,896.07/x
  3. Step 3: Cross multiply
    33,083.77x = 49,632.81 × 10,896.07
  4. Step 4: Simplify right side
    33,083.77x = 540,802,572.06
  5. Step 5: Solve for x
    x = 540,802,572.06/33,083.77
  6. Step 6: Final answer
    x = 16,346.46

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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.