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Finding the Fourth Proportional to 117,121.68, 175,694.31 and 32,882.04

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Solution

The fourth proportional to 117,121.68, 175,694.31 and 32,882.04 is: 49,326.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,121.68 : 175,694.31 = 32,882.04 : x
  2. Step 2: Convert to fraction form
    117,121.68/175,694.31 = 32,882.04/x
  3. Step 3: Cross multiply
    117,121.68x = 175,694.31 × 32,882.04
  4. Step 4: Simplify right side
    117,121.68x = 5,777,187,329.19
  5. Step 5: Solve for x
    x = 5,777,187,329.19/117,121.68
  6. Step 6: Final answer
    x = 49,326.37

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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.