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Finding the Fourth Proportional to 80,021.35, 110,335.78 and 54,542.80

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Solution

The fourth proportional to 80,021.35, 110,335.78 and 54,542.80 is: 75,205.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,021.35 : 110,335.78 = 54,542.80 : x
  2. Step 2: Convert to fraction form
    80,021.35/110,335.78 = 54,542.80/x
  3. Step 3: Cross multiply
    80,021.35x = 110,335.78 × 54,542.80
  4. Step 4: Simplify right side
    80,021.35x = 6,018,022,381.38
  5. Step 5: Solve for x
    x = 6,018,022,381.38/80,021.35
  6. Step 6: Final answer
    x = 75,205.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.