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Finding the Fourth Proportional to 83,996.41, 125,999.21 and 34,069.09

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Solution

The fourth proportional to 83,996.41, 125,999.21 and 34,069.09 is: 51,105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,996.41 : 125,999.21 = 34,069.09 : x
  2. Step 2: Convert to fraction form
    83,996.41/125,999.21 = 34,069.09/x
  3. Step 3: Cross multiply
    83,996.41x = 125,999.21 × 34,069.09
  4. Step 4: Simplify right side
    83,996.41x = 4,292,678,425.42
  5. Step 5: Solve for x
    x = 4,292,678,425.42/83,996.41
  6. Step 6: Final answer
    x = 51,105.50

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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.