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Finding the Fourth Proportional to 67,980.67, 102,033.26 and 34,724.05

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Solution

The fourth proportional to 67,980.67, 102,033.26 and 34,724.05 is: 52,117.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,980.67 : 102,033.26 = 34,724.05 : x
  2. Step 2: Convert to fraction form
    67,980.67/102,033.26 = 34,724.05/x
  3. Step 3: Cross multiply
    67,980.67x = 102,033.26 × 34,724.05
  4. Step 4: Simplify right side
    67,980.67x = 3,543,008,021.90
  5. Step 5: Solve for x
    x = 3,543,008,021.90/67,980.67
  6. Step 6: Final answer
    x = 52,117.87

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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.