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Finding the Fourth Proportional to 57,284.30, 85,853.55 and 27,638.30

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Solution

The fourth proportional to 57,284.30, 85,853.55 and 27,638.30 is: 41,422.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,284.30 : 85,853.55 = 27,638.30 : x
  2. Step 2: Convert to fraction form
    57,284.30/85,853.55 = 27,638.30/x
  3. Step 3: Cross multiply
    57,284.30x = 85,853.55 × 27,638.30
  4. Step 4: Simplify right side
    57,284.30x = 2,372,846,170.97
  5. Step 5: Solve for x
    x = 2,372,846,170.97/57,284.30
  6. Step 6: Final answer
    x = 41,422.28

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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.