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Finding the Fourth Proportional to 34,917, 48,185.46 and 20,013

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Solution

The fourth proportional to 34,917, 48,185.46 and 20,013 is: 27,617.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,917 : 48,185.46 = 20,013 : x
  2. Step 2: Convert to fraction form
    34,917/48,185.46 = 20,013/x
  3. Step 3: Cross multiply
    34,917x = 48,185.46 × 20,013
  4. Step 4: Simplify right side
    34,917x = 964,335,610.98
  5. Step 5: Solve for x
    x = 964,335,610.98/34,917
  6. Step 6: Final answer
    x = 27,617.94

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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.