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Finding the Fourth Proportional to 54,234.68, 74,843.12 and 30,361.34

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Solution

The fourth proportional to 54,234.68, 74,843.12 and 30,361.34 is: 41,898.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,234.68 : 74,843.12 = 30,361.34 : x
  2. Step 2: Convert to fraction form
    54,234.68/74,843.12 = 30,361.34/x
  3. Step 3: Cross multiply
    54,234.68x = 74,843.12 × 30,361.34
  4. Step 4: Simplify right side
    54,234.68x = 2,272,337,412.98
  5. Step 5: Solve for x
    x = 2,272,337,412.98/54,234.68
  6. Step 6: Final answer
    x = 41,898.24

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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.