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Finding the Fourth Proportional to 31,282.96, 43,170.96 and 17,137.12

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Solution

The fourth proportional to 31,282.96, 43,170.96 and 17,137.12 is: 23,649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,282.96 : 43,170.96 = 17,137.12 : x
  2. Step 2: Convert to fraction form
    31,282.96/43,170.96 = 17,137.12/x
  3. Step 3: Cross multiply
    31,282.96x = 43,170.96 × 17,137.12
  4. Step 4: Simplify right side
    31,282.96x = 739,825,922.04
  5. Step 5: Solve for x
    x = 739,825,922.04/31,282.96
  6. Step 6: Final answer
    x = 23,649.49

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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.