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Finding the Fourth Proportional to 30,517.92, 42,092.96 and 18,582

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Solution

The fourth proportional to 30,517.92, 42,092.96 and 18,582 is: 25,629.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,517.92 : 42,092.96 = 18,582 : x
  2. Step 2: Convert to fraction form
    30,517.92/42,092.96 = 18,582/x
  3. Step 3: Cross multiply
    30,517.92x = 42,092.96 × 18,582
  4. Step 4: Simplify right side
    30,517.92x = 782,171,382.72
  5. Step 5: Solve for x
    x = 782,171,382.72/30,517.92
  6. Step 6: Final answer
    x = 25,629.90

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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.