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Finding the Fourth Proportional to 81,600.96, 122,375.52 and 26,184

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Solution

The fourth proportional to 81,600.96, 122,375.52 and 26,184 is: 39,267.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,600.96 : 122,375.52 = 26,184 : x
  2. Step 2: Convert to fraction form
    81,600.96/122,375.52 = 26,184/x
  3. Step 3: Cross multiply
    81,600.96x = 122,375.52 × 26,184
  4. Step 4: Simplify right side
    81,600.96x = 3,204,280,615.68
  5. Step 5: Solve for x
    x = 3,204,280,615.68/81,600.96
  6. Step 6: Final answer
    x = 39,267.68

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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.