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Finding the Fourth Proportional to 30,517.57, 42,112.94 and 17,086.56

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Solution

The fourth proportional to 30,517.57, 42,112.94 and 17,086.56 is: 23,578.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,517.57 : 42,112.94 = 17,086.56 : x
  2. Step 2: Convert to fraction form
    30,517.57/42,112.94 = 17,086.56/x
  3. Step 3: Cross multiply
    30,517.57x = 42,112.94 × 17,086.56
  4. Step 4: Simplify right side
    30,517.57x = 719,565,276.09
  5. Step 5: Solve for x
    x = 719,565,276.09/30,517.57
  6. Step 6: Final answer
    x = 23,578.72

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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.