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Finding the Fourth Proportional to 33,238.21, 49,846.54 and 11,045.63

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Solution

The fourth proportional to 33,238.21, 49,846.54 and 11,045.63 is: 16,564.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,238.21 : 49,846.54 = 11,045.63 : x
  2. Step 2: Convert to fraction form
    33,238.21/49,846.54 = 11,045.63/x
  3. Step 3: Cross multiply
    33,238.21x = 49,846.54 × 11,045.63
  4. Step 4: Simplify right side
    33,238.21x = 550,586,437.62
  5. Step 5: Solve for x
    x = 550,586,437.62/33,238.21
  6. Step 6: Final answer
    x = 16,564.86

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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.