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Finding the Fourth Proportional to 40,197.68, 55,469.64 and 23,201.60

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Solution

The fourth proportional to 40,197.68, 55,469.64 and 23,201.60 is: 32,016.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,197.68 : 55,469.64 = 23,201.60 : x
  2. Step 2: Convert to fraction form
    40,197.68/55,469.64 = 23,201.60/x
  3. Step 3: Cross multiply
    40,197.68x = 55,469.64 × 23,201.60
  4. Step 4: Simplify right side
    40,197.68x = 1,286,984,399.42
  5. Step 5: Solve for x
    x = 1,286,984,399.42/40,197.68
  6. Step 6: Final answer
    x = 32,016.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.