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Finding the Fourth Proportional to 33,161.53, 49,711.02 and 16,505.81

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Solution

The fourth proportional to 33,161.53, 49,711.02 and 16,505.81 is: 24,743.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,161.53 : 49,711.02 = 16,505.81 : x
  2. Step 2: Convert to fraction form
    33,161.53/49,711.02 = 16,505.81/x
  3. Step 3: Cross multiply
    33,161.53x = 49,711.02 × 16,505.81
  4. Step 4: Simplify right side
    33,161.53x = 820,520,806.34
  5. Step 5: Solve for x
    x = 820,520,806.34/33,161.53
  6. Step 6: Final answer
    x = 24,743.16

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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.