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Finding the Fourth Proportional to 57,704.28, 86,567.65 and 22,163

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Solution

The fourth proportional to 57,704.28, 86,567.65 and 22,163 is: 33,248.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,704.28 : 86,567.65 = 22,163 : x
  2. Step 2: Convert to fraction form
    57,704.28/86,567.65 = 22,163/x
  3. Step 3: Cross multiply
    57,704.28x = 86,567.65 × 22,163
  4. Step 4: Simplify right side
    57,704.28x = 1,918,598,716.14
  5. Step 5: Solve for x
    x = 1,918,598,716.14/57,704.28
  6. Step 6: Final answer
    x = 33,248.81

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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.