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Finding the Fourth Proportional to 27,892.33, 41,845.07 and 9,172.42

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Solution

The fourth proportional to 27,892.33, 41,845.07 and 9,172.42 is: 13,760.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,892.33 : 41,845.07 = 9,172.42 : x
  2. Step 2: Convert to fraction form
    27,892.33/41,845.07 = 9,172.42/x
  3. Step 3: Cross multiply
    27,892.33x = 41,845.07 × 9,172.42
  4. Step 4: Simplify right side
    27,892.33x = 383,820,475.29
  5. Step 5: Solve for x
    x = 383,820,475.29/27,892.33
  6. Step 6: Final answer
    x = 13,760.79

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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.