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Finding the Fourth Proportional to 57,704.85, 86,505.03 and 22,635.09

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Solution

The fourth proportional to 57,704.85, 86,505.03 and 22,635.09 is: 33,932.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,704.85 : 86,505.03 = 22,635.09 : x
  2. Step 2: Convert to fraction form
    57,704.85/86,505.03 = 22,635.09/x
  3. Step 3: Cross multiply
    57,704.85x = 86,505.03 × 22,635.09
  4. Step 4: Simplify right side
    57,704.85x = 1,958,049,139.50
  5. Step 5: Solve for x
    x = 1,958,049,139.50/57,704.85
  6. Step 6: Final answer
    x = 33,932.14

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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.