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Finding the Fourth Proportional to 50,122, 69,170.52 and 27,766

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Solution

The fourth proportional to 50,122, 69,170.52 and 27,766 is: 38,318.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,122 : 69,170.52 = 27,766 : x
  2. Step 2: Convert to fraction form
    50,122/69,170.52 = 27,766/x
  3. Step 3: Cross multiply
    50,122x = 69,170.52 × 27,766
  4. Step 4: Simplify right side
    50,122x = 1,920,588,658.32
  5. Step 5: Solve for x
    x = 1,920,588,658.32/50,122
  6. Step 6: Final answer
    x = 38,318.28

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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.