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Finding the Fourth Proportional to 53,403.46, 80,105.20 and 20,131

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Solution

The fourth proportional to 53,403.46, 80,105.20 and 20,131 is: 30,196.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,403.46 : 80,105.20 = 20,131 : x
  2. Step 2: Convert to fraction form
    53,403.46/80,105.20 = 20,131/x
  3. Step 3: Cross multiply
    53,403.46x = 80,105.20 × 20,131
  4. Step 4: Simplify right side
    53,403.46x = 1,612,597,781.20
  5. Step 5: Solve for x
    x = 1,612,597,781.20/53,403.46
  6. Step 6: Final answer
    x = 30,196.50

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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.