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Finding the Fourth Proportional to 67,241.20, 100,894.20 and 47,477.20

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Solution

The fourth proportional to 67,241.20, 100,894.20 and 47,477.20 is: 71,238.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,241.20 : 100,894.20 = 47,477.20 : x
  2. Step 2: Convert to fraction form
    67,241.20/100,894.20 = 47,477.20/x
  3. Step 3: Cross multiply
    67,241.20x = 100,894.20 × 47,477.20
  4. Step 4: Simplify right side
    67,241.20x = 4,790,174,112.24
  5. Step 5: Solve for x
    x = 4,790,174,112.24/67,241.20
  6. Step 6: Final answer
    x = 71,238.68

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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.