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Finding the Fourth Proportional to 33,832.75, 46,686.03 and 20,218.09

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Solution

The fourth proportional to 33,832.75, 46,686.03 and 20,218.09 is: 27,899.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,832.75 : 46,686.03 = 20,218.09 : x
  2. Step 2: Convert to fraction form
    33,832.75/46,686.03 = 20,218.09/x
  3. Step 3: Cross multiply
    33,832.75x = 46,686.03 × 20,218.09
  4. Step 4: Simplify right side
    33,832.75x = 943,902,021.76
  5. Step 5: Solve for x
    x = 943,902,021.76/33,832.75
  6. Step 6: Final answer
    x = 27,899.07

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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.