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Finding the Fourth Proportional to 31,872.48, 43,978.92 and 17,725.44

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Solution

The fourth proportional to 31,872.48, 43,978.92 and 17,725.44 is: 24,458.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,872.48 : 43,978.92 = 17,725.44 : x
  2. Step 2: Convert to fraction form
    31,872.48/43,978.92 = 17,725.44/x
  3. Step 3: Cross multiply
    31,872.48x = 43,978.92 × 17,725.44
  4. Step 4: Simplify right side
    31,872.48x = 779,545,707.72
  5. Step 5: Solve for x
    x = 779,545,707.72/31,872.48
  6. Step 6: Final answer
    x = 24,458.27

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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.