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Finding the Fourth Proportional to 33,493.14, 46,222.86 and 22,142.91

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Solution

The fourth proportional to 33,493.14, 46,222.86 and 22,142.91 is: 30,558.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,493.14 : 46,222.86 = 22,142.91 : x
  2. Step 2: Convert to fraction form
    33,493.14/46,222.86 = 22,142.91/x
  3. Step 3: Cross multiply
    33,493.14x = 46,222.86 × 22,142.91
  4. Step 4: Simplify right side
    33,493.14x = 1,023,508,684.28
  5. Step 5: Solve for x
    x = 1,023,508,684.28/33,493.14
  6. Step 6: Final answer
    x = 30,558.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.