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Finding the Fourth Proportional to 27,849, 38,433.44 and 15,273.75

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Solution

The fourth proportional to 27,849, 38,433.44 and 15,273.75 is: 21,078.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,849 : 38,433.44 = 15,273.75 : x
  2. Step 2: Convert to fraction form
    27,849/38,433.44 = 15,273.75/x
  3. Step 3: Cross multiply
    27,849x = 38,433.44 × 15,273.75
  4. Step 4: Simplify right side
    27,849x = 587,022,792.38
  5. Step 5: Solve for x
    x = 587,022,792.38/27,849
  6. Step 6: Final answer
    x = 21,078.77

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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.