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Finding the Fourth Proportional to 40,134.46, 55,385.42 and 22,229.46

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Solution

The fourth proportional to 40,134.46, 55,385.42 and 22,229.46 is: 30,676.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,134.46 : 55,385.42 = 22,229.46 : x
  2. Step 2: Convert to fraction form
    40,134.46/55,385.42 = 22,229.46/x
  3. Step 3: Cross multiply
    40,134.46x = 55,385.42 × 22,229.46
  4. Step 4: Simplify right side
    40,134.46x = 1,231,187,978.47
  5. Step 5: Solve for x
    x = 1,231,187,978.47/40,134.46
  6. Step 6: Final answer
    x = 30,676.58

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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.