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Finding the Fourth Proportional to 31,175.84, 43,022.69 and 17,028.68

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Solution

The fourth proportional to 31,175.84, 43,022.69 and 17,028.68 is: 23,499.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,175.84 : 43,022.69 = 17,028.68 : x
  2. Step 2: Convert to fraction form
    31,175.84/43,022.69 = 17,028.68/x
  3. Step 3: Cross multiply
    31,175.84x = 43,022.69 × 17,028.68
  4. Step 4: Simplify right side
    31,175.84x = 732,619,722.14
  5. Step 5: Solve for x
    x = 732,619,722.14/31,175.84
  6. Step 6: Final answer
    x = 23,499.60

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