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Finding the Fourth Proportional to 33,097.60, 49,648.02 and 10,910.89

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Solution

The fourth proportional to 33,097.60, 49,648.02 and 10,910.89 is: 16,366.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,097.60 : 49,648.02 = 10,910.89 : x
  2. Step 2: Convert to fraction form
    33,097.60/49,648.02 = 10,910.89/x
  3. Step 3: Cross multiply
    33,097.60x = 49,648.02 × 10,910.89
  4. Step 4: Simplify right side
    33,097.60x = 541,704,084.94
  5. Step 5: Solve for x
    x = 541,704,084.94/33,097.60
  6. Step 6: Final answer
    x = 16,366.87

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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.