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Finding the Fourth Proportional to 50,166.32, 69,230.30 and 27,507.38

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Solution

The fourth proportional to 50,166.32, 69,230.30 and 27,507.38 is: 37,960.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,166.32 : 69,230.30 = 27,507.38 : x
  2. Step 2: Convert to fraction form
    50,166.32/69,230.30 = 27,507.38/x
  3. Step 3: Cross multiply
    50,166.32x = 69,230.30 × 27,507.38
  4. Step 4: Simplify right side
    50,166.32x = 1,904,343,685.93
  5. Step 5: Solve for x
    x = 1,904,343,685.93/50,166.32
  6. Step 6: Final answer
    x = 37,960.61

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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.