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Finding the Fourth Proportional to 31,619.72, 43,634.61 and 17,472.26

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Solution

The fourth proportional to 31,619.72, 43,634.61 and 17,472.26 is: 24,111.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,619.72 : 43,634.61 = 17,472.26 : x
  2. Step 2: Convert to fraction form
    31,619.72/43,634.61 = 17,472.26/x
  3. Step 3: Cross multiply
    31,619.72x = 43,634.61 × 17,472.26
  4. Step 4: Simplify right side
    31,619.72x = 762,395,250.92
  5. Step 5: Solve for x
    x = 762,395,250.92/31,619.72
  6. Step 6: Final answer
    x = 24,111.39

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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.