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Finding the Fourth Proportional to 73,118.70, 109,691.42 and 23,211.36

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Solution

The fourth proportional to 73,118.70, 109,691.42 and 23,211.36 is: 34,821.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,118.70 : 109,691.42 = 23,211.36 : x
  2. Step 2: Convert to fraction form
    73,118.70/109,691.42 = 23,211.36/x
  3. Step 3: Cross multiply
    73,118.70x = 109,691.42 × 23,211.36
  4. Step 4: Simplify right side
    73,118.70x = 2,546,086,922.47
  5. Step 5: Solve for x
    x = 2,546,086,922.47/73,118.70
  6. Step 6: Final answer
    x = 34,821.28

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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.