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Finding the Fourth Proportional to 27,936, 41,906.52 and 7,159.68

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Solution

The fourth proportional to 27,936, 41,906.52 and 7,159.68 is: 10,740.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,936 : 41,906.52 = 7,159.68 : x
  2. Step 2: Convert to fraction form
    27,936/41,906.52 = 7,159.68/x
  3. Step 3: Cross multiply
    27,936x = 41,906.52 × 7,159.68
  4. Step 4: Simplify right side
    27,936x = 300,037,273.11
  5. Step 5: Solve for x
    x = 300,037,273.11/27,936
  6. Step 6: Final answer
    x = 10,740.17

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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.