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Finding the Fourth Proportional to 33,161.40, 49,737.15 and 12,096.50

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Solution

The fourth proportional to 33,161.40, 49,737.15 and 12,096.50 is: 18,142.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,161.40 : 49,737.15 = 12,096.50 : x
  2. Step 2: Convert to fraction form
    33,161.40/49,737.15 = 12,096.50/x
  3. Step 3: Cross multiply
    33,161.40x = 49,737.15 × 12,096.50
  4. Step 4: Simplify right side
    33,161.40x = 601,645,186.29
  5. Step 5: Solve for x
    x = 601,645,186.29/33,161.40
  6. Step 6: Final answer
    x = 18,142.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.