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Finding the Fourth Proportional to 31,331.61, 43,238.30 and 17,184.42

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Solution

The fourth proportional to 31,331.61, 43,238.30 and 17,184.42 is: 23,714.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,331.61 : 43,238.30 = 17,184.42 : x
  2. Step 2: Convert to fraction form
    31,331.61/43,238.30 = 17,184.42/x
  3. Step 3: Cross multiply
    31,331.61x = 43,238.30 × 17,184.42
  4. Step 4: Simplify right side
    31,331.61x = 743,025,021.36
  5. Step 5: Solve for x
    x = 743,025,021.36/31,331.61
  6. Step 6: Final answer
    x = 23,714.87

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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.