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Finding the Fourth Proportional to 31,807.38, 43,893.96 and 17,660.28

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Solution

The fourth proportional to 31,807.38, 43,893.96 and 17,660.28 is: 24,371.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,807.38 : 43,893.96 = 17,660.28 : x
  2. Step 2: Convert to fraction form
    31,807.38/43,893.96 = 17,660.28/x
  3. Step 3: Cross multiply
    31,807.38x = 43,893.96 × 17,660.28
  4. Step 4: Simplify right side
    31,807.38x = 775,179,623.91
  5. Step 5: Solve for x
    x = 775,179,623.91/31,807.38
  6. Step 6: Final answer
    x = 24,371.06

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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.