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Finding the Fourth Proportional to 50,102.36, 69,142.01 and 27,443.44

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Solution

The fourth proportional to 50,102.36, 69,142.01 and 27,443.44 is: 37,872.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,102.36 : 69,142.01 = 27,443.44 : x
  2. Step 2: Convert to fraction form
    50,102.36/69,142.01 = 27,443.44/x
  3. Step 3: Cross multiply
    50,102.36x = 69,142.01 × 27,443.44
  4. Step 4: Simplify right side
    50,102.36x = 1,897,494,552.12
  5. Step 5: Solve for x
    x = 1,897,494,552.12/50,102.36
  6. Step 6: Final answer
    x = 37,872.36

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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.