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Finding the Fourth Proportional to 71,985.35, 107,998.76 and 22,072.80

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Solution

The fourth proportional to 71,985.35, 107,998.76 and 22,072.80 is: 33,115.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,985.35 : 107,998.76 = 22,072.80 : x
  2. Step 2: Convert to fraction form
    71,985.35/107,998.76 = 22,072.80/x
  3. Step 3: Cross multiply
    71,985.35x = 107,998.76 × 22,072.80
  4. Step 4: Simplify right side
    71,985.35x = 2,383,835,029.73
  5. Step 5: Solve for x
    x = 2,383,835,029.73/71,985.35
  6. Step 6: Final answer
    x = 33,115.56

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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.