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Finding the Fourth Proportional to 31,532.58, 43,514.82 and 17,193.24

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Solution

The fourth proportional to 31,532.58, 43,514.82 and 17,193.24 is: 23,726.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,532.58 : 43,514.82 = 17,193.24 : x
  2. Step 2: Convert to fraction form
    31,532.58/43,514.82 = 17,193.24/x
  3. Step 3: Cross multiply
    31,532.58x = 43,514.82 × 17,193.24
  4. Step 4: Simplify right side
    31,532.58x = 748,160,743.82
  5. Step 5: Solve for x
    x = 748,160,743.82/31,532.58
  6. Step 6: Final answer
    x = 23,726.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.