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Finding the Fourth Proportional to 41,805.44, 57,686.40 and 30,608

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Solution

The fourth proportional to 41,805.44, 57,686.40 and 30,608 is: 42,235.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,805.44 : 57,686.40 = 30,608 : x
  2. Step 2: Convert to fraction form
    41,805.44/57,686.40 = 30,608/x
  3. Step 3: Cross multiply
    41,805.44x = 57,686.40 × 30,608
  4. Step 4: Simplify right side
    41,805.44x = 1,765,665,331.20
  5. Step 5: Solve for x
    x = 1,765,665,331.20/41,805.44
  6. Step 6: Final answer
    x = 42,235.30

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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.