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Finding the Fourth Proportional to 49,954, 68,936.52 and 27,598

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Solution

The fourth proportional to 49,954, 68,936.52 and 27,598 is: 38,085.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,954 : 68,936.52 = 27,598 : x
  2. Step 2: Convert to fraction form
    49,954/68,936.52 = 27,598/x
  3. Step 3: Cross multiply
    49,954x = 68,936.52 × 27,598
  4. Step 4: Simplify right side
    49,954x = 1,902,510,078.96
  5. Step 5: Solve for x
    x = 1,902,510,078.96/49,954
  6. Step 6: Final answer
    x = 38,085.24

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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.