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Finding the Fourth Proportional to 50,558.82, 69,771.17 and 28,202.82

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Solution

The fourth proportional to 50,558.82, 69,771.17 and 28,202.82 is: 38,919.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,558.82 : 69,771.17 = 28,202.82 : x
  2. Step 2: Convert to fraction form
    50,558.82/69,771.17 = 28,202.82/x
  3. Step 3: Cross multiply
    50,558.82x = 69,771.17 × 28,202.82
  4. Step 4: Simplify right side
    50,558.82x = 1,967,743,607.69
  5. Step 5: Solve for x
    x = 1,967,743,607.69/50,558.82
  6. Step 6: Final answer
    x = 38,919.89

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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.