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Finding the Fourth Proportional to 31,804.38, 43,891.27 and 17,659.89

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Solution

The fourth proportional to 31,804.38, 43,891.27 and 17,659.89 is: 24,371.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,804.38 : 43,891.27 = 17,659.89 : x
  2. Step 2: Convert to fraction form
    31,804.38/43,891.27 = 17,659.89/x
  3. Step 3: Cross multiply
    31,804.38x = 43,891.27 × 17,659.89
  4. Step 4: Simplify right side
    31,804.38x = 775,114,956.01
  5. Step 5: Solve for x
    x = 775,114,956.01/31,804.38
  6. Step 6: Final answer
    x = 24,371.33

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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.