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Finding the Fourth Proportional to 40,178.86, 55,441.70 and 22,273.70

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Solution

The fourth proportional to 40,178.86, 55,441.70 and 22,273.70 is: 30,734.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,178.86 : 55,441.70 = 22,273.70 : x
  2. Step 2: Convert to fraction form
    40,178.86/55,441.70 = 22,273.70/x
  3. Step 3: Cross multiply
    40,178.86x = 55,441.70 × 22,273.70
  4. Step 4: Simplify right side
    40,178.86x = 1,234,891,793.29
  5. Step 5: Solve for x
    x = 1,234,891,793.29/40,178.86
  6. Step 6: Final answer
    x = 30,734.86

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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.