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Finding the Fourth Proportional to 67,399.62, 101,017.44 and 47,683.86

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Solution

The fourth proportional to 67,399.62, 101,017.44 and 47,683.86 is: 71,467.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,399.62 : 101,017.44 = 47,683.86 : x
  2. Step 2: Convert to fraction form
    67,399.62/101,017.44 = 47,683.86/x
  3. Step 3: Cross multiply
    67,399.62x = 101,017.44 × 47,683.86
  4. Step 4: Simplify right side
    67,399.62x = 4,816,901,466.52
  5. Step 5: Solve for x
    x = 4,816,901,466.52/67,399.62
  6. Step 6: Final answer
    x = 71,467.78

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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.