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Finding the Fourth Proportional to 33,012.82, 49,509.24 and 11,950.30

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Solution

The fourth proportional to 33,012.82, 49,509.24 and 11,950.30 is: 17,921.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,012.82 : 49,509.24 = 11,950.30 : x
  2. Step 2: Convert to fraction form
    33,012.82/49,509.24 = 11,950.30/x
  3. Step 3: Cross multiply
    33,012.82x = 49,509.24 × 11,950.30
  4. Step 4: Simplify right side
    33,012.82x = 591,650,270.77
  5. Step 5: Solve for x
    x = 591,650,270.77/33,012.82
  6. Step 6: Final answer
    x = 17,921.83

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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.