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Finding the Fourth Proportional to 31,174.13, 43,019.10 and 17,027.08

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Solution

The fourth proportional to 31,174.13, 43,019.10 and 17,027.08 is: 23,496.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,174.13 : 43,019.10 = 17,027.08 : x
  2. Step 2: Convert to fraction form
    31,174.13/43,019.10 = 17,027.08/x
  3. Step 3: Cross multiply
    31,174.13x = 43,019.10 × 17,027.08
  4. Step 4: Simplify right side
    31,174.13x = 732,489,549.68
  5. Step 5: Solve for x
    x = 732,489,549.68/31,174.13
  6. Step 6: Final answer
    x = 23,496.71

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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.