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Finding the Fourth Proportional to 31,797.56, 43,880.64 and 17,651.72

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Solution

The fourth proportional to 31,797.56, 43,880.64 and 17,651.72 is: 24,359.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,797.56 : 43,880.64 = 17,651.72 : x
  2. Step 2: Convert to fraction form
    31,797.56/43,880.64 = 17,651.72/x
  3. Step 3: Cross multiply
    31,797.56x = 43,880.64 × 17,651.72
  4. Step 4: Simplify right side
    31,797.56x = 774,568,814.21
  5. Step 5: Solve for x
    x = 774,568,814.21/31,797.56
  6. Step 6: Final answer
    x = 24,359.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.