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Finding the Fourth Proportional to 54,611, 81,929.50 and 17,675

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Solution

The fourth proportional to 54,611, 81,929.50 and 17,675 is: 26,516.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,611 : 81,929.50 = 17,675 : x
  2. Step 2: Convert to fraction form
    54,611/81,929.50 = 17,675/x
  3. Step 3: Cross multiply
    54,611x = 81,929.50 × 17,675
  4. Step 4: Simplify right side
    54,611x = 1,448,103,912.50
  5. Step 5: Solve for x
    x = 1,448,103,912.50/54,611
  6. Step 6: Final answer
    x = 26,516.71

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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.