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Finding the Fourth Proportional to 31,721.36, 43,775.42 and 17,574.21

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Solution

The fourth proportional to 31,721.36, 43,775.42 and 17,574.21 is: 24,252.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,721.36 : 43,775.42 = 17,574.21 : x
  2. Step 2: Convert to fraction form
    31,721.36/43,775.42 = 17,574.21/x
  3. Step 3: Cross multiply
    31,721.36x = 43,775.42 × 17,574.21
  4. Step 4: Simplify right side
    31,721.36x = 769,318,336.05
  5. Step 5: Solve for x
    x = 769,318,336.05/31,721.36
  6. Step 6: Final answer
    x = 24,252.38

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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.