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Finding the Fourth Proportional to 54,578.50, 81,893.67 and 17,642.50

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Solution

The fourth proportional to 54,578.50, 81,893.67 and 17,642.50 is: 26,472.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,578.50 : 81,893.67 = 17,642.50 : x
  2. Step 2: Convert to fraction form
    54,578.50/81,893.67 = 17,642.50/x
  3. Step 3: Cross multiply
    54,578.50x = 81,893.67 × 17,642.50
  4. Step 4: Simplify right side
    54,578.50x = 1,444,809,072.98
  5. Step 5: Solve for x
    x = 1,444,809,072.98/54,578.50
  6. Step 6: Final answer
    x = 26,472.13

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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.