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Finding the Fourth Proportional to 50,170.42, 69,234.64 and 27,509.34

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Solution

The fourth proportional to 50,170.42, 69,234.64 and 27,509.34 is: 37,962.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,170.42 : 69,234.64 = 27,509.34 : x
  2. Step 2: Convert to fraction form
    50,170.42/69,234.64 = 27,509.34/x
  3. Step 3: Cross multiply
    50,170.42x = 69,234.64 × 27,509.34
  4. Step 4: Simplify right side
    50,170.42x = 1,904,599,251.54
  5. Step 5: Solve for x
    x = 1,904,599,251.54/50,170.42
  6. Step 6: Final answer
    x = 37,962.59

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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.