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Finding the Fourth Proportional to 50,170.98, 69,236.05 and 27,814.98

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Solution

The fourth proportional to 50,170.98, 69,236.05 and 27,814.98 is: 38,384.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,170.98 : 69,236.05 = 27,814.98 : x
  2. Step 2: Convert to fraction form
    50,170.98/69,236.05 = 27,814.98/x
  3. Step 3: Cross multiply
    50,170.98x = 69,236.05 × 27,814.98
  4. Step 4: Simplify right side
    50,170.98x = 1,925,799,346.03
  5. Step 5: Solve for x
    x = 1,925,799,346.03/50,170.98
  6. Step 6: Final answer
    x = 38,384.73

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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.