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Finding the Fourth Proportional to 50,118, 69,162.99 and 27,762

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Solution

The fourth proportional to 50,118, 69,162.99 and 27,762 is: 38,311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,118 : 69,162.99 = 27,762 : x
  2. Step 2: Convert to fraction form
    50,118/69,162.99 = 27,762/x
  3. Step 3: Cross multiply
    50,118x = 69,162.99 × 27,762
  4. Step 4: Simplify right side
    50,118x = 1,920,102,928.38
  5. Step 5: Solve for x
    x = 1,920,102,928.38/50,118
  6. Step 6: Final answer
    x = 38,311.64

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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.