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Finding the Fourth Proportional to 30,711.51, 42,382.04 and 17,282.97

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Solution

The fourth proportional to 30,711.51, 42,382.04 and 17,282.97 is: 23,850.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,711.51 : 42,382.04 = 17,282.97 : x
  2. Step 2: Convert to fraction form
    30,711.51/42,382.04 = 17,282.97/x
  3. Step 3: Cross multiply
    30,711.51x = 42,382.04 × 17,282.97
  4. Step 4: Simplify right side
    30,711.51x = 732,487,439.44
  5. Step 5: Solve for x
    x = 732,487,439.44/30,711.51
  6. Step 6: Final answer
    x = 23,850.58

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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.