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Finding the Fourth Proportional to 29,892.68, 41,206.83 and 24,578.27

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Solution

The fourth proportional to 29,892.68, 41,206.83 and 24,578.27 is: 33,880.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,892.68 : 41,206.83 = 24,578.27 : x
  2. Step 2: Convert to fraction form
    29,892.68/41,206.83 = 24,578.27/x
  3. Step 3: Cross multiply
    29,892.68x = 41,206.83 × 24,578.27
  4. Step 4: Simplify right side
    29,892.68x = 1,012,792,449.91
  5. Step 5: Solve for x
    x = 1,012,792,449.91/29,892.68
  6. Step 6: Final answer
    x = 33,880.95

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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.