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Finding the Fourth Proportional to 27,991.50, 41,991.57 and 10,463.82

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Solution

The fourth proportional to 27,991.50, 41,991.57 and 10,463.82 is: 15,697.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,991.50 : 41,991.57 = 10,463.82 : x
  2. Step 2: Convert to fraction form
    27,991.50/41,991.57 = 10,463.82/x
  3. Step 3: Cross multiply
    27,991.50x = 41,991.57 × 10,463.82
  4. Step 4: Simplify right side
    27,991.50x = 439,392,230.00
  5. Step 5: Solve for x
    x = 439,392,230.00/27,991.50
  6. Step 6: Final answer
    x = 15,697.34

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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.