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Finding the Fourth Proportional to 33,684.50, 50,528.78 and 10,311.14

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Solution

The fourth proportional to 33,684.50, 50,528.78 and 10,311.14 is: 15,467.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,684.50 : 50,528.78 = 10,311.14 : x
  2. Step 2: Convert to fraction form
    33,684.50/50,528.78 = 10,311.14/x
  3. Step 3: Cross multiply
    33,684.50x = 50,528.78 × 10,311.14
  4. Step 4: Simplify right side
    33,684.50x = 521,009,324.61
  5. Step 5: Solve for x
    x = 521,009,324.61/33,684.50
  6. Step 6: Final answer
    x = 15,467.33

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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.