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Finding the Fourth Proportional to 53,697.92, 80,516.02 and 22,129.78

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Solution

The fourth proportional to 53,697.92, 80,516.02 and 22,129.78 is: 33,181.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,697.92 : 80,516.02 = 22,129.78 : x
  2. Step 2: Convert to fraction form
    53,697.92/80,516.02 = 22,129.78/x
  3. Step 3: Cross multiply
    53,697.92x = 80,516.02 × 22,129.78
  4. Step 4: Simplify right side
    53,697.92x = 1,781,801,295.85
  5. Step 5: Solve for x
    x = 1,781,801,295.85/53,697.92
  6. Step 6: Final answer
    x = 33,181.94

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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.