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Finding the Fourth Proportional to 57,771.22, 86,650.26 and 15,648.88

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Solution

The fourth proportional to 57,771.22, 86,650.26 and 15,648.88 is: 23,471.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,771.22 : 86,650.26 = 15,648.88 : x
  2. Step 2: Convert to fraction form
    57,771.22/86,650.26 = 15,648.88/x
  3. Step 3: Cross multiply
    57,771.22x = 86,650.26 × 15,648.88
  4. Step 4: Simplify right side
    57,771.22x = 1,355,979,520.71
  5. Step 5: Solve for x
    x = 1,355,979,520.71/57,771.22
  6. Step 6: Final answer
    x = 23,471.54

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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.