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Finding the Fourth Proportional to 41,193, 56,846.46 and 22,330.20

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Solution

The fourth proportional to 41,193, 56,846.46 and 22,330.20 is: 30,815.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,193 : 56,846.46 = 22,330.20 : x
  2. Step 2: Convert to fraction form
    41,193/56,846.46 = 22,330.20/x
  3. Step 3: Cross multiply
    41,193x = 56,846.46 × 22,330.20
  4. Step 4: Simplify right side
    41,193x = 1,269,392,821.09
  5. Step 5: Solve for x
    x = 1,269,392,821.09/41,193
  6. Step 6: Final answer
    x = 30,815.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.