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Finding the Fourth Proportional to 40,105.50, 55,346.89 and 23,108.42

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Solution

The fourth proportional to 40,105.50, 55,346.89 and 23,108.42 is: 31,890.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,105.50 : 55,346.89 = 23,108.42 : x
  2. Step 2: Convert to fraction form
    40,105.50/55,346.89 = 23,108.42/x
  3. Step 3: Cross multiply
    40,105.50x = 55,346.89 × 23,108.42
  4. Step 4: Simplify right side
    40,105.50x = 1,278,979,122.04
  5. Step 5: Solve for x
    x = 1,278,979,122.04/40,105.50
  6. Step 6: Final answer
    x = 31,890.37

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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.