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Finding the Fourth Proportional to 27,969.87, 41,954.81 and 7,191.75

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Solution

The fourth proportional to 27,969.87, 41,954.81 and 7,191.75 is: 10,787.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,969.87 : 41,954.81 = 7,191.75 : x
  2. Step 2: Convert to fraction form
    27,969.87/41,954.81 = 7,191.75/x
  3. Step 3: Cross multiply
    27,969.87x = 41,954.81 × 7,191.75
  4. Step 4: Simplify right side
    27,969.87x = 301,728,468.86
  5. Step 5: Solve for x
    x = 301,728,468.86/27,969.87
  6. Step 6: Final answer
    x = 10,787.63

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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.