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Finding the Fourth Proportional to 33,161.91, 49,737.96 and 12,097.02

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Solution

The fourth proportional to 33,161.91, 49,737.96 and 12,097.02 is: 18,143.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,161.91 : 49,737.96 = 12,097.02 : x
  2. Step 2: Convert to fraction form
    33,161.91/49,737.96 = 12,097.02/x
  3. Step 3: Cross multiply
    33,161.91x = 49,737.96 × 12,097.02
  4. Step 4: Simplify right side
    33,161.91x = 601,681,096.88
  5. Step 5: Solve for x
    x = 601,681,096.88/33,161.91
  6. Step 6: Final answer
    x = 18,143.74

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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.