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Finding the Fourth Proportional to 33,559.92, 50,313.96 and 21,222

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Solution

The fourth proportional to 33,559.92, 50,313.96 and 21,222 is: 31,816.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,559.92 : 50,313.96 = 21,222 : x
  2. Step 2: Convert to fraction form
    33,559.92/50,313.96 = 21,222/x
  3. Step 3: Cross multiply
    33,559.92x = 50,313.96 × 21,222
  4. Step 4: Simplify right side
    33,559.92x = 1,067,762,859.12
  5. Step 5: Solve for x
    x = 1,067,762,859.12/33,559.92
  6. Step 6: Final answer
    x = 31,816.61

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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.