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Finding the Fourth Proportional to 68,452.83, 102,619.31 and 32,896.40

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Solution

The fourth proportional to 68,452.83, 102,619.31 and 32,896.40 is: 49,315.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,452.83 : 102,619.31 = 32,896.40 : x
  2. Step 2: Convert to fraction form
    68,452.83/102,619.31 = 32,896.40/x
  3. Step 3: Cross multiply
    68,452.83x = 102,619.31 × 32,896.40
  4. Step 4: Simplify right side
    68,452.83x = 3,375,805,191.91
  5. Step 5: Solve for x
    x = 3,375,805,191.91/68,452.83
  6. Step 6: Final answer
    x = 49,315.79

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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.