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Finding the Fourth Proportional to 30,382.71, 41,930.34 and 17,643.25

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Solution

The fourth proportional to 30,382.71, 41,930.34 and 17,643.25 is: 24,348.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,382.71 : 41,930.34 = 17,643.25 : x
  2. Step 2: Convert to fraction form
    30,382.71/41,930.34 = 17,643.25/x
  3. Step 3: Cross multiply
    30,382.71x = 41,930.34 × 17,643.25
  4. Step 4: Simplify right side
    30,382.71x = 739,787,556.70
  5. Step 5: Solve for x
    x = 739,787,556.70/30,382.71
  6. Step 6: Final answer
    x = 24,348.96

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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.