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Finding the Fourth Proportional to 29,777.82, 41,093.42 and 17,202.57

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Solution

The fourth proportional to 29,777.82, 41,093.42 and 17,202.57 is: 23,739.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,777.82 : 41,093.42 = 17,202.57 : x
  2. Step 2: Convert to fraction form
    29,777.82/41,093.42 = 17,202.57/x
  3. Step 3: Cross multiply
    29,777.82x = 41,093.42 × 17,202.57
  4. Step 4: Simplify right side
    29,777.82x = 706,912,434.09
  5. Step 5: Solve for x
    x = 706,912,434.09/29,777.82
  6. Step 6: Final answer
    x = 23,739.56

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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.