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Finding the Fourth Proportional to 31,467.52, 43,443.84 and 27,968.64

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Solution

The fourth proportional to 31,467.52, 43,443.84 and 27,968.64 is: 38,613.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,467.52 : 43,443.84 = 27,968.64 : x
  2. Step 2: Convert to fraction form
    31,467.52/43,443.84 = 27,968.64/x
  3. Step 3: Cross multiply
    31,467.52x = 43,443.84 × 27,968.64
  4. Step 4: Simplify right side
    31,467.52x = 1,215,065,121.18
  5. Step 5: Solve for x
    x = 1,215,065,121.18/31,467.52
  6. Step 6: Final answer
    x = 38,613.31

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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.