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Finding the Fourth Proportional to 31,586.81, 43,587.92 and 17,243.78

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Solution

The fourth proportional to 31,586.81, 43,587.92 and 17,243.78 is: 23,795.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,586.81 : 43,587.92 = 17,243.78 : x
  2. Step 2: Convert to fraction form
    31,586.81/43,587.92 = 17,243.78/x
  3. Step 3: Cross multiply
    31,586.81x = 43,587.92 × 17,243.78
  4. Step 4: Simplify right side
    31,586.81x = 751,620,198.98
  5. Step 5: Solve for x
    x = 751,620,198.98/31,586.81
  6. Step 6: Final answer
    x = 23,795.39

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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.