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Finding the Fourth Proportional to 41,200.80, 56,857.20 and 22,337.84

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Solution

The fourth proportional to 41,200.80, 56,857.20 and 22,337.84 is: 30,826.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,200.80 : 56,857.20 = 22,337.84 : x
  2. Step 2: Convert to fraction form
    41,200.80/56,857.20 = 22,337.84/x
  3. Step 3: Cross multiply
    41,200.80x = 56,857.20 × 22,337.84
  4. Step 4: Simplify right side
    41,200.80x = 1,270,067,036.45
  5. Step 5: Solve for x
    x = 1,270,067,036.45/41,200.80
  6. Step 6: Final answer
    x = 30,826.27

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