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Finding the Fourth Proportional to 33,838.96, 50,761.82 and 11,649.40

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Solution

The fourth proportional to 33,838.96, 50,761.82 and 11,649.40 is: 17,475.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,838.96 : 50,761.82 = 11,649.40 : x
  2. Step 2: Convert to fraction form
    33,838.96/50,761.82 = 11,649.40/x
  3. Step 3: Cross multiply
    33,838.96x = 50,761.82 × 11,649.40
  4. Step 4: Simplify right side
    33,838.96x = 591,344,745.91
  5. Step 5: Solve for x
    x = 591,344,745.91/33,838.96
  6. Step 6: Final answer
    x = 17,475.26

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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.