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Finding the Fourth Proportional to 33,102.46, 49,656.93 and 10,906.78

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Solution

The fourth proportional to 33,102.46, 49,656.93 and 10,906.78 is: 16,361.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,102.46 : 49,656.93 = 10,906.78 : x
  2. Step 2: Convert to fraction form
    33,102.46/49,656.93 = 10,906.78/x
  3. Step 3: Cross multiply
    33,102.46x = 49,656.93 × 10,906.78
  4. Step 4: Simplify right side
    33,102.46x = 541,597,210.99
  5. Step 5: Solve for x
    x = 541,597,210.99/33,102.46
  6. Step 6: Final answer
    x = 16,361.24

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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.