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Finding the Fourth Proportional to 31,293.63, 43,186.22 and 17,147.38

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Solution

The fourth proportional to 31,293.63, 43,186.22 and 17,147.38 is: 23,663.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,293.63 : 43,186.22 = 17,147.38 : x
  2. Step 2: Convert to fraction form
    31,293.63/43,186.22 = 17,147.38/x
  3. Step 3: Cross multiply
    31,293.63x = 43,186.22 × 17,147.38
  4. Step 4: Simplify right side
    31,293.63x = 740,530,439.37
  5. Step 5: Solve for x
    x = 740,530,439.37/31,293.63
  6. Step 6: Final answer
    x = 23,663.94

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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.