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Finding the Fourth Proportional to 54,506.17, 81,782.49 and 21,249.64

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Solution

The fourth proportional to 54,506.17, 81,782.49 and 21,249.64 is: 31,883.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,506.17 : 81,782.49 = 21,249.64 : x
  2. Step 2: Convert to fraction form
    54,506.17/81,782.49 = 21,249.64/x
  3. Step 3: Cross multiply
    54,506.17x = 81,782.49 × 21,249.64
  4. Step 4: Simplify right side
    54,506.17x = 1,737,848,470.80
  5. Step 5: Solve for x
    x = 1,737,848,470.80/54,506.17
  6. Step 6: Final answer
    x = 31,883.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.