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Finding the Fourth Proportional to 50,117, 69,163.62 and 27,761

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Solution

The fourth proportional to 50,117, 69,163.62 and 27,761 is: 38,311.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,117 : 69,163.62 = 27,761 : x
  2. Step 2: Convert to fraction form
    50,117/69,163.62 = 27,761/x
  3. Step 3: Cross multiply
    50,117x = 69,163.62 × 27,761
  4. Step 4: Simplify right side
    50,117x = 1,920,051,254.82
  5. Step 5: Solve for x
    x = 1,920,051,254.82/50,117
  6. Step 6: Final answer
    x = 38,311.38

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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.