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Finding the Fourth Proportional to 31,824.90, 47,736.90 and 10,760.44

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Solution

The fourth proportional to 31,824.90, 47,736.90 and 10,760.44 is: 16,140.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,824.90 : 47,736.90 = 10,760.44 : x
  2. Step 2: Convert to fraction form
    31,824.90/47,736.90 = 10,760.44/x
  3. Step 3: Cross multiply
    31,824.90x = 47,736.90 × 10,760.44
  4. Step 4: Simplify right side
    31,824.90x = 513,670,048.24
  5. Step 5: Solve for x
    x = 513,670,048.24/31,824.90
  6. Step 6: Final answer
    x = 16,140.51

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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.