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Finding the Fourth Proportional to 31,804.62, 43,891.38 and 17,658.60

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Solution

The fourth proportional to 31,804.62, 43,891.38 and 17,658.60 is: 24,369.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,804.62 : 43,891.38 = 17,658.60 : x
  2. Step 2: Convert to fraction form
    31,804.62/43,891.38 = 17,658.60/x
  3. Step 3: Cross multiply
    31,804.62x = 43,891.38 × 17,658.60
  4. Step 4: Simplify right side
    31,804.62x = 775,060,322.87
  5. Step 5: Solve for x
    x = 775,060,322.87/31,804.62
  6. Step 6: Final answer
    x = 24,369.43

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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.