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Finding the Fourth Proportional to 33,162.81, 49,712.94 and 16,507.09

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Solution

The fourth proportional to 33,162.81, 49,712.94 and 16,507.09 is: 24,745.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,162.81 : 49,712.94 = 16,507.09 : x
  2. Step 2: Convert to fraction form
    33,162.81/49,712.94 = 16,507.09/x
  3. Step 3: Cross multiply
    33,162.81x = 49,712.94 × 16,507.09
  4. Step 4: Simplify right side
    33,162.81x = 820,615,974.74
  5. Step 5: Solve for x
    x = 820,615,974.74/33,162.81
  6. Step 6: Final answer
    x = 24,745.07

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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.