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Finding the Fourth Proportional to 33,028.84, 49,467.06 and 19,852.24

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Solution

The fourth proportional to 33,028.84, 49,467.06 and 19,852.24 is: 29,732.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,028.84 : 49,467.06 = 19,852.24 : x
  2. Step 2: Convert to fraction form
    33,028.84/49,467.06 = 19,852.24/x
  3. Step 3: Cross multiply
    33,028.84x = 49,467.06 × 19,852.24
  4. Step 4: Simplify right side
    33,028.84x = 982,031,947.21
  5. Step 5: Solve for x
    x = 982,031,947.21/33,028.84
  6. Step 6: Final answer
    x = 29,732.56

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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.