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Finding the Fourth Proportional to 75,361.38, 104,002.34 and 41,827.38

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Solution

The fourth proportional to 75,361.38, 104,002.34 and 41,827.38 is: 57,723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,361.38 : 104,002.34 = 41,827.38 : x
  2. Step 2: Convert to fraction form
    75,361.38/104,002.34 = 41,827.38/x
  3. Step 3: Cross multiply
    75,361.38x = 104,002.34 × 41,827.38
  4. Step 4: Simplify right side
    75,361.38x = 4,350,145,396.07
  5. Step 5: Solve for x
    x = 4,350,145,396.07/75,361.38
  6. Step 6: Final answer
    x = 57,723.80

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Why These Related Problems?

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