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Finding the Fourth Proportional to 68,047.26, 101,982.06 and 34,739.16

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Solution

The fourth proportional to 68,047.26, 101,982.06 and 34,739.16 is: 52,063.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,047.26 : 101,982.06 = 34,739.16 : x
  2. Step 2: Convert to fraction form
    68,047.26/101,982.06 = 34,739.16/x
  3. Step 3: Cross multiply
    68,047.26x = 101,982.06 × 34,739.16
  4. Step 4: Simplify right side
    68,047.26x = 3,542,771,099.47
  5. Step 5: Solve for x
    x = 3,542,771,099.47/68,047.26
  6. Step 6: Final answer
    x = 52,063.39

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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.