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Finding the Fourth Proportional to 54,711.99, 82,072.01 and 19,651.95

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Solution

The fourth proportional to 54,711.99, 82,072.01 and 19,651.95 is: 29,479.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,711.99 : 82,072.01 = 19,651.95 : x
  2. Step 2: Convert to fraction form
    54,711.99/82,072.01 = 19,651.95/x
  3. Step 3: Cross multiply
    54,711.99x = 82,072.01 × 19,651.95
  4. Step 4: Simplify right side
    54,711.99x = 1,612,874,938.66
  5. Step 5: Solve for x
    x = 1,612,874,938.66/54,711.99
  6. Step 6: Final answer
    x = 29,479.37

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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.