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Finding the Fourth Proportional to 50,443.44, 69,609.24 and 28,086

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Solution

The fourth proportional to 50,443.44, 69,609.24 and 28,086 is: 38,757.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,443.44 : 69,609.24 = 28,086 : x
  2. Step 2: Convert to fraction form
    50,443.44/69,609.24 = 28,086/x
  3. Step 3: Cross multiply
    50,443.44x = 69,609.24 × 28,086
  4. Step 4: Simplify right side
    50,443.44x = 1,955,045,114.64
  5. Step 5: Solve for x
    x = 1,955,045,114.64/50,443.44
  6. Step 6: Final answer
    x = 38,757.17

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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.