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Finding the Fourth Proportional to 50,575.98, 69,794.51 and 27,914.97

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Solution

The fourth proportional to 50,575.98, 69,794.51 and 27,914.97 is: 38,522.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,575.98 : 69,794.51 = 27,914.97 : x
  2. Step 2: Convert to fraction form
    50,575.98/69,794.51 = 27,914.97/x
  3. Step 3: Cross multiply
    50,575.98x = 69,794.51 × 27,914.97
  4. Step 4: Simplify right side
    50,575.98x = 1,948,311,652.81
  5. Step 5: Solve for x
    x = 1,948,311,652.81/50,575.98
  6. Step 6: Final answer
    x = 38,522.47

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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.