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Finding the Fourth Proportional to 68,509.26, 94,542.80 and 37,882.37

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Solution

The fourth proportional to 68,509.26, 94,542.80 and 37,882.37 is: 52,277.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,509.26 : 94,542.80 = 37,882.37 : x
  2. Step 2: Convert to fraction form
    68,509.26/94,542.80 = 37,882.37/x
  3. Step 3: Cross multiply
    68,509.26x = 94,542.80 × 37,882.37
  4. Step 4: Simplify right side
    68,509.26x = 3,581,505,377.38
  5. Step 5: Solve for x
    x = 3,581,505,377.38/68,509.26
  6. Step 6: Final answer
    x = 52,277.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.