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Finding the Fourth Proportional to 50,245.59, 69,341.42 and 27,584.42

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Solution

The fourth proportional to 50,245.59, 69,341.42 and 27,584.42 is: 38,067.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,245.59 : 69,341.42 = 27,584.42 : x
  2. Step 2: Convert to fraction form
    50,245.59/69,341.42 = 27,584.42/x
  3. Step 3: Cross multiply
    50,245.59x = 69,341.42 × 27,584.42
  4. Step 4: Simplify right side
    50,245.59x = 1,912,742,714.75
  5. Step 5: Solve for x
    x = 1,912,742,714.75/50,245.59
  6. Step 6: Final answer
    x = 38,067.87

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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.