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Finding the Fourth Proportional to 50,357.72, 69,495.39 and 27,698.42

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Solution

The fourth proportional to 50,357.72, 69,495.39 and 27,698.42 is: 38,224.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,357.72 : 69,495.39 = 27,698.42 : x
  2. Step 2: Convert to fraction form
    50,357.72/69,495.39 = 27,698.42/x
  3. Step 3: Cross multiply
    50,357.72x = 69,495.39 × 27,698.42
  4. Step 4: Simplify right side
    50,357.72x = 1,924,912,500.28
  5. Step 5: Solve for x
    x = 1,924,912,500.28/50,357.72
  6. Step 6: Final answer
    x = 38,224.77

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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.