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Finding the Fourth Proportional to 31,969.49, 47,954.23 and 11,188.13

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Solution

The fourth proportional to 31,969.49, 47,954.23 and 11,188.13 is: 16,782.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,969.49 : 47,954.23 = 11,188.13 : x
  2. Step 2: Convert to fraction form
    31,969.49/47,954.23 = 11,188.13/x
  3. Step 3: Cross multiply
    31,969.49x = 47,954.23 × 11,188.13
  4. Step 4: Simplify right side
    31,969.49x = 536,517,891.55
  5. Step 5: Solve for x
    x = 536,517,891.55/31,969.49
  6. Step 6: Final answer
    x = 16,782.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.