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Finding the Fourth Proportional to 34,174.92, 47,131.78 and 22,233.80

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Solution

The fourth proportional to 34,174.92, 47,131.78 and 22,233.80 is: 30,663.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,174.92 : 47,131.78 = 22,233.80 : x
  2. Step 2: Convert to fraction form
    34,174.92/47,131.78 = 22,233.80/x
  3. Step 3: Cross multiply
    34,174.92x = 47,131.78 × 22,233.80
  4. Step 4: Simplify right side
    34,174.92x = 1,047,918,570.16
  5. Step 5: Solve for x
    x = 1,047,918,570.16/34,174.92
  6. Step 6: Final answer
    x = 30,663.38

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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.