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Finding the Fourth Proportional to 57,198.56, 85,774.08 and 22,118

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Solution

The fourth proportional to 57,198.56, 85,774.08 and 22,118 is: 33,167.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,198.56 : 85,774.08 = 22,118 : x
  2. Step 2: Convert to fraction form
    57,198.56/85,774.08 = 22,118/x
  3. Step 3: Cross multiply
    57,198.56x = 85,774.08 × 22,118
  4. Step 4: Simplify right side
    57,198.56x = 1,897,151,101.44
  5. Step 5: Solve for x
    x = 1,897,151,101.44/57,198.56
  6. Step 6: Final answer
    x = 33,167.81

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Why These Related Problems?

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