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Finding the Fourth Proportional to 33,138.54, 49,708.23 and 11,808.21

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Solution

The fourth proportional to 33,138.54, 49,708.23 and 11,808.21 is: 17,712.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,138.54 : 49,708.23 = 11,808.21 : x
  2. Step 2: Convert to fraction form
    33,138.54/49,708.23 = 11,808.21/x
  3. Step 3: Cross multiply
    33,138.54x = 49,708.23 × 11,808.21
  4. Step 4: Simplify right side
    33,138.54x = 586,965,218.57
  5. Step 5: Solve for x
    x = 586,965,218.57/33,138.54
  6. Step 6: Final answer
    x = 17,712.46

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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.