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Finding the Fourth Proportional to 33,593.82, 46,366.47 and 20,165.64

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Solution

The fourth proportional to 33,593.82, 46,366.47 and 20,165.64 is: 27,832.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,593.82 : 46,366.47 = 20,165.64 : x
  2. Step 2: Convert to fraction form
    33,593.82/46,366.47 = 20,165.64/x
  3. Step 3: Cross multiply
    33,593.82x = 46,366.47 × 20,165.64
  4. Step 4: Simplify right side
    33,593.82x = 935,009,542.09
  5. Step 5: Solve for x
    x = 935,009,542.09/33,593.82
  6. Step 6: Final answer
    x = 27,832.78

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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.