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Finding the Fourth Proportional to 67,683.98, 101,524.75 and 23,309.75

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Solution

The fourth proportional to 67,683.98, 101,524.75 and 23,309.75 is: 34,964.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,683.98 : 101,524.75 = 23,309.75 : x
  2. Step 2: Convert to fraction form
    67,683.98/101,524.75 = 23,309.75/x
  3. Step 3: Cross multiply
    67,683.98x = 101,524.75 × 23,309.75
  4. Step 4: Simplify right side
    67,683.98x = 2,366,516,736.85
  5. Step 5: Solve for x
    x = 2,366,516,736.85/67,683.98
  6. Step 6: Final answer
    x = 34,964.21

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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.