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Finding the Fourth Proportional to 31,162.96, 43,006.44 and 17,016.40

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Solution

The fourth proportional to 31,162.96, 43,006.44 and 17,016.40 is: 23,483.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,162.96 : 43,006.44 = 17,016.40 : x
  2. Step 2: Convert to fraction form
    31,162.96/43,006.44 = 17,016.40/x
  3. Step 3: Cross multiply
    31,162.96x = 43,006.44 × 17,016.40
  4. Step 4: Simplify right side
    31,162.96x = 731,814,785.62
  5. Step 5: Solve for x
    x = 731,814,785.62/31,162.96
  6. Step 6: Final answer
    x = 23,483.48

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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.