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Finding the Fourth Proportional to 29,954.16, 44,932.32 and 11,232.27

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Solution

The fourth proportional to 29,954.16, 44,932.32 and 11,232.27 is: 16,848.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,954.16 : 44,932.32 = 11,232.27 : x
  2. Step 2: Convert to fraction form
    29,954.16/44,932.32 = 11,232.27/x
  3. Step 3: Cross multiply
    29,954.16x = 44,932.32 × 11,232.27
  4. Step 4: Simplify right side
    29,954.16x = 504,691,949.97
  5. Step 5: Solve for x
    x = 504,691,949.97/29,954.16
  6. Step 6: Final answer
    x = 16,848.81

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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.