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Finding the Fourth Proportional to 48,470.85, 72,604.22 and 22,197.69

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Solution

The fourth proportional to 48,470.85, 72,604.22 and 22,197.69 is: 33,249.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,470.85 : 72,604.22 = 22,197.69 : x
  2. Step 2: Convert to fraction form
    48,470.85/72,604.22 = 22,197.69/x
  3. Step 3: Cross multiply
    48,470.85x = 72,604.22 × 22,197.69
  4. Step 4: Simplify right side
    48,470.85x = 1,611,645,857.26
  5. Step 5: Solve for x
    x = 1,611,645,857.26/48,470.85
  6. Step 6: Final answer
    x = 33,249.80

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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.