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Finding the Fourth Proportional to 27,174.75, 37,485.22 and 17,087.20

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Solution

The fourth proportional to 27,174.75, 37,485.22 and 17,087.20 is: 23,570.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,174.75 : 37,485.22 = 17,087.20 : x
  2. Step 2: Convert to fraction form
    27,174.75/37,485.22 = 17,087.20/x
  3. Step 3: Cross multiply
    27,174.75x = 37,485.22 × 17,087.20
  4. Step 4: Simplify right side
    27,174.75x = 640,517,451.18
  5. Step 5: Solve for x
    x = 640,517,451.18/27,174.75
  6. Step 6: Final answer
    x = 23,570.32

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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.