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Finding the Fourth Proportional to 42,023.97, 57,993.09 and 23,161.09

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Solution

The fourth proportional to 42,023.97, 57,993.09 and 23,161.09 is: 31,962.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,023.97 : 57,993.09 = 23,161.09 : x
  2. Step 2: Convert to fraction form
    42,023.97/57,993.09 = 23,161.09/x
  3. Step 3: Cross multiply
    42,023.97x = 57,993.09 × 23,161.09
  4. Step 4: Simplify right side
    42,023.97x = 1,343,183,176.87
  5. Step 5: Solve for x
    x = 1,343,183,176.87/42,023.97
  6. Step 6: Final answer
    x = 31,962.31

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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.