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Finding the Fourth Proportional to 57,722.78, 86,584.16 and 29,255.30

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Solution

The fourth proportional to 57,722.78, 86,584.16 and 29,255.30 is: 43,882.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,722.78 : 86,584.16 = 29,255.30 : x
  2. Step 2: Convert to fraction form
    57,722.78/86,584.16 = 29,255.30/x
  3. Step 3: Cross multiply
    57,722.78x = 86,584.16 × 29,255.30
  4. Step 4: Simplify right side
    57,722.78x = 2,533,044,996.85
  5. Step 5: Solve for x
    x = 2,533,044,996.85/57,722.78
  6. Step 6: Final answer
    x = 43,882.94

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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.