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Finding the Fourth Proportional to 31,282.49, 43,169.40 and 17,135.43

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Solution

The fourth proportional to 31,282.49, 43,169.40 and 17,135.43 is: 23,646.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,282.49 : 43,169.40 = 17,135.43 : x
  2. Step 2: Convert to fraction form
    31,282.49/43,169.40 = 17,135.43/x
  3. Step 3: Cross multiply
    31,282.49x = 43,169.40 × 17,135.43
  4. Step 4: Simplify right side
    31,282.49x = 739,726,231.84
  5. Step 5: Solve for x
    x = 739,726,231.84/31,282.49
  6. Step 6: Final answer
    x = 23,646.65

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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.