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Finding the Fourth Proportional to 31,171.42, 43,015.42 and 17,023.96

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Solution

The fourth proportional to 31,171.42, 43,015.42 and 17,023.96 is: 23,492.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,171.42 : 43,015.42 = 17,023.96 : x
  2. Step 2: Convert to fraction form
    31,171.42/43,015.42 = 17,023.96/x
  3. Step 3: Cross multiply
    31,171.42x = 43,015.42 × 17,023.96
  4. Step 4: Simplify right side
    31,171.42x = 732,292,789.46
  5. Step 5: Solve for x
    x = 732,292,789.46/31,171.42
  6. Step 6: Final answer
    x = 23,492.44

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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.