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Finding the Fourth Proportional to 27,469.25, 41,179.44 and 9,935.18

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Solution

The fourth proportional to 27,469.25, 41,179.44 and 9,935.18 is: 14,893.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,469.25 : 41,179.44 = 9,935.18 : x
  2. Step 2: Convert to fraction form
    27,469.25/41,179.44 = 9,935.18/x
  3. Step 3: Cross multiply
    27,469.25x = 41,179.44 × 9,935.18
  4. Step 4: Simplify right side
    27,469.25x = 409,125,148.70
  5. Step 5: Solve for x
    x = 409,125,148.70/27,469.25
  6. Step 6: Final answer
    x = 14,893.93

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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.