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Finding the Fourth Proportional to 27,954.10, 41,954.10 and 27,735.40

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Solution

The fourth proportional to 27,954.10, 41,954.10 and 27,735.40 is: 41,625.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,954.10 : 41,954.10 = 27,735.40 : x
  2. Step 2: Convert to fraction form
    27,954.10/41,954.10 = 27,735.40/x
  3. Step 3: Cross multiply
    27,954.10x = 41,954.10 × 27,735.40
  4. Step 4: Simplify right side
    27,954.10x = 1,163,613,745.14
  5. Step 5: Solve for x
    x = 1,163,613,745.14/27,954.10
  6. Step 6: Final answer
    x = 41,625.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.