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Finding the Fourth Proportional to 31,171.34, 43,014.87 and 17,021.54

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Solution

The fourth proportional to 31,171.34, 43,014.87 and 17,021.54 is: 23,488.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,171.34 : 43,014.87 = 17,021.54 : x
  2. Step 2: Convert to fraction form
    31,171.34/43,014.87 = 17,021.54/x
  3. Step 3: Cross multiply
    31,171.34x = 43,014.87 × 17,021.54
  4. Step 4: Simplify right side
    31,171.34x = 732,179,330.30
  5. Step 5: Solve for x
    x = 732,179,330.30/31,171.34
  6. Step 6: Final answer
    x = 23,488.86

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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.