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Finding the Fourth Proportional to 31,175.53, 43,022.19 and 17,028.38

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Solution

The fourth proportional to 31,175.53, 43,022.19 and 17,028.38 is: 23,499.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,175.53 : 43,022.19 = 17,028.38 : x
  2. Step 2: Convert to fraction form
    31,175.53/43,022.19 = 17,028.38/x
  3. Step 3: Cross multiply
    31,175.53x = 43,022.19 × 17,028.38
  4. Step 4: Simplify right side
    31,175.53x = 732,598,033.38
  5. Step 5: Solve for x
    x = 732,598,033.38/31,175.53
  6. Step 6: Final answer
    x = 23,499.13

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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.