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Finding the Fourth Proportional to 33,218.97, 49,838.18 and 10,729.14

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Solution

The fourth proportional to 33,218.97, 49,838.18 and 10,729.14 is: 16,096.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,218.97 : 49,838.18 = 10,729.14 : x
  2. Step 2: Convert to fraction form
    33,218.97/49,838.18 = 10,729.14/x
  3. Step 3: Cross multiply
    33,218.97x = 49,838.18 × 10,729.14
  4. Step 4: Simplify right side
    33,218.97x = 534,720,756.92
  5. Step 5: Solve for x
    x = 534,720,756.92/33,218.97
  6. Step 6: Final answer
    x = 16,096.85

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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.