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Finding the Fourth Proportional to 33,161.95, 49,711.65 and 16,506.23

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Solution

The fourth proportional to 33,161.95, 49,711.65 and 16,506.23 is: 24,743.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,161.95 : 49,711.65 = 16,506.23 : x
  2. Step 2: Convert to fraction form
    33,161.95/49,711.65 = 16,506.23/x
  3. Step 3: Cross multiply
    33,161.95x = 49,711.65 × 16,506.23
  4. Step 4: Simplify right side
    33,161.95x = 820,552,223.53
  5. Step 5: Solve for x
    x = 820,552,223.53/33,161.95
  6. Step 6: Final answer
    x = 24,743.79

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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.