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Finding the Fourth Proportional to 40,896.24, 61,422.12 and 25,422

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Solution

The fourth proportional to 40,896.24, 61,422.12 and 25,422 is: 38,181.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,896.24 : 61,422.12 = 25,422 : x
  2. Step 2: Convert to fraction form
    40,896.24/61,422.12 = 25,422/x
  3. Step 3: Cross multiply
    40,896.24x = 61,422.12 × 25,422
  4. Step 4: Simplify right side
    40,896.24x = 1,561,473,134.64
  5. Step 5: Solve for x
    x = 1,561,473,134.64/40,896.24
  6. Step 6: Final answer
    x = 38,181.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.