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Finding the Fourth Proportional to 33,684.50, 50,527.22 and 16,150.22

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Solution

The fourth proportional to 33,684.50, 50,527.22 and 16,150.22 is: 24,225.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,684.50 : 50,527.22 = 16,150.22 : x
  2. Step 2: Convert to fraction form
    33,684.50/50,527.22 = 16,150.22/x
  3. Step 3: Cross multiply
    33,684.50x = 50,527.22 × 16,150.22
  4. Step 4: Simplify right side
    33,684.50x = 816,025,385.60
  5. Step 5: Solve for x
    x = 816,025,385.60/33,684.50
  6. Step 6: Final answer
    x = 24,225.55

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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.