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Finding the Fourth Proportional to 69,682.96, 104,524.44 and 22,949.20

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Solution

The fourth proportional to 69,682.96, 104,524.44 and 22,949.20 is: 34,423.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,682.96 : 104,524.44 = 22,949.20 : x
  2. Step 2: Convert to fraction form
    69,682.96/104,524.44 = 22,949.20/x
  3. Step 3: Cross multiply
    69,682.96x = 104,524.44 × 22,949.20
  4. Step 4: Simplify right side
    69,682.96x = 2,398,752,278.45
  5. Step 5: Solve for x
    x = 2,398,752,278.45/69,682.96
  6. Step 6: Final answer
    x = 34,423.80

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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.