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Finding the Fourth Proportional to 57,704.91, 86,598.37 and 22,644.56

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Solution

The fourth proportional to 57,704.91, 86,598.37 and 22,644.56 is: 33,982.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,704.91 : 86,598.37 = 22,644.56 : x
  2. Step 2: Convert to fraction form
    57,704.91/86,598.37 = 22,644.56/x
  3. Step 3: Cross multiply
    57,704.91x = 86,598.37 × 22,644.56
  4. Step 4: Simplify right side
    57,704.91x = 1,960,982,102.79
  5. Step 5: Solve for x
    x = 1,960,982,102.79/57,704.91
  6. Step 6: Final answer
    x = 33,982.94

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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.