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Finding the Fourth Proportional to 31,809.48, 43,896.42 and 17,661.48

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Solution

The fourth proportional to 31,809.48, 43,896.42 and 17,661.48 is: 24,372.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,809.48 : 43,896.42 = 17,661.48 : x
  2. Step 2: Convert to fraction form
    31,809.48/43,896.42 = 17,661.48/x
  3. Step 3: Cross multiply
    31,809.48x = 43,896.42 × 17,661.48
  4. Step 4: Simplify right side
    31,809.48x = 775,275,743.90
  5. Step 5: Solve for x
    x = 775,275,743.90/31,809.48
  6. Step 6: Final answer
    x = 24,372.47

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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.