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Finding the Fourth Proportional to 50,569.31, 75,853.97 and 13,633.31

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Solution

The fourth proportional to 50,569.31, 75,853.97 and 13,633.31 is: 20,449.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,569.31 : 75,853.97 = 13,633.31 : x
  2. Step 2: Convert to fraction form
    50,569.31/75,853.97 = 13,633.31/x
  3. Step 3: Cross multiply
    50,569.31x = 75,853.97 × 13,633.31
  4. Step 4: Simplify right side
    50,569.31x = 1,034,140,860.33
  5. Step 5: Solve for x
    x = 1,034,140,860.33/50,569.31
  6. Step 6: Final answer
    x = 20,449.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.