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Finding the Fourth Proportional to 31,169.72, 43,014 and 17,022.57

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Solution

The fourth proportional to 31,169.72, 43,014 and 17,022.57 is: 23,491.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,169.72 : 43,014 = 17,022.57 : x
  2. Step 2: Convert to fraction form
    31,169.72/43,014 = 17,022.57/x
  3. Step 3: Cross multiply
    31,169.72x = 43,014 × 17,022.57
  4. Step 4: Simplify right side
    31,169.72x = 732,208,825.98
  5. Step 5: Solve for x
    x = 732,208,825.98/31,169.72
  6. Step 6: Final answer
    x = 23,491.03

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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.