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Finding the Fourth Proportional to 42,016.68, 57,982.92 and 23,153.82

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Solution

The fourth proportional to 42,016.68, 57,982.92 and 23,153.82 is: 31,952.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,016.68 : 57,982.92 = 23,153.82 : x
  2. Step 2: Convert to fraction form
    42,016.68/57,982.92 = 23,153.82/x
  3. Step 3: Cross multiply
    42,016.68x = 57,982.92 × 23,153.82
  4. Step 4: Simplify right side
    42,016.68x = 1,342,526,092.75
  5. Step 5: Solve for x
    x = 1,342,526,092.75/42,016.68
  6. Step 6: Final answer
    x = 31,952.22

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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.