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Finding the Fourth Proportional to 33,469.56, 46,189.44 and 20,043

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Solution

The fourth proportional to 33,469.56, 46,189.44 and 20,043 is: 27,660.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,469.56 : 46,189.44 = 20,043 : x
  2. Step 2: Convert to fraction form
    33,469.56/46,189.44 = 20,043/x
  3. Step 3: Cross multiply
    33,469.56x = 46,189.44 × 20,043
  4. Step 4: Simplify right side
    33,469.56x = 925,774,945.92
  5. Step 5: Solve for x
    x = 925,774,945.92/33,469.56
  6. Step 6: Final answer
    x = 27,660.21

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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.