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Finding the Fourth Proportional to 57,198.42, 85,796.42 and 15,645.42

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Solution

The fourth proportional to 57,198.42, 85,796.42 and 15,645.42 is: 23,467.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,198.42 : 85,796.42 = 15,645.42 : x
  2. Step 2: Convert to fraction form
    57,198.42/85,796.42 = 15,645.42/x
  3. Step 3: Cross multiply
    57,198.42x = 85,796.42 × 15,645.42
  4. Step 4: Simplify right side
    57,198.42x = 1,342,321,025.40
  5. Step 5: Solve for x
    x = 1,342,321,025.40/57,198.42
  6. Step 6: Final answer
    x = 23,467.80

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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.