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Finding the Fourth Proportional to 33,843.76, 50,710.15 and 23,965.31

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Solution

The fourth proportional to 33,843.76, 50,710.15 and 23,965.31 is: 35,908.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,843.76 : 50,710.15 = 23,965.31 : x
  2. Step 2: Convert to fraction form
    33,843.76/50,710.15 = 23,965.31/x
  3. Step 3: Cross multiply
    33,843.76x = 50,710.15 × 23,965.31
  4. Step 4: Simplify right side
    33,843.76x = 1,215,284,464.90
  5. Step 5: Solve for x
    x = 1,215,284,464.90/33,843.76
  6. Step 6: Final answer
    x = 35,908.67

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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.