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Finding the Fourth Proportional to 68,449.35, 102,672.48 and 30,982.29

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Solution

The fourth proportional to 68,449.35, 102,672.48 and 30,982.29 is: 46,472.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,449.35 : 102,672.48 = 30,982.29 : x
  2. Step 2: Convert to fraction form
    68,449.35/102,672.48 = 30,982.29/x
  3. Step 3: Cross multiply
    68,449.35x = 102,672.48 × 30,982.29
  4. Step 4: Simplify right side
    68,449.35x = 3,181,028,550.38
  5. Step 5: Solve for x
    x = 3,181,028,550.38/68,449.35
  6. Step 6: Final answer
    x = 46,472.74

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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.