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Finding the Fourth Proportional to 54,361.57, 81,565.83 and 29,419.22

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Solution

The fourth proportional to 54,361.57, 81,565.83 and 29,419.22 is: 44,141.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,361.57 : 81,565.83 = 29,419.22 : x
  2. Step 2: Convert to fraction form
    54,361.57/81,565.83 = 29,419.22/x
  3. Step 3: Cross multiply
    54,361.57x = 81,565.83 × 29,419.22
  4. Step 4: Simplify right side
    54,361.57x = 2,399,603,097.25
  5. Step 5: Solve for x
    x = 2,399,603,097.25/54,361.57
  6. Step 6: Final answer
    x = 44,141.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.