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Finding the Fourth Proportional to 31,324.69, 43,221.52 and 19,986.96

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Solution

The fourth proportional to 31,324.69, 43,221.52 and 19,986.96 is: 27,577.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,324.69 : 43,221.52 = 19,986.96 : x
  2. Step 2: Convert to fraction form
    31,324.69/43,221.52 = 19,986.96/x
  3. Step 3: Cross multiply
    31,324.69x = 43,221.52 × 19,986.96
  4. Step 4: Simplify right side
    31,324.69x = 863,866,791.38
  5. Step 5: Solve for x
    x = 863,866,791.38/31,324.69
  6. Step 6: Final answer
    x = 27,577.82

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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.