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Finding the Fourth Proportional to 50,405.61, 69,559.19 and 27,744.11

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Solution

The fourth proportional to 50,405.61, 69,559.19 and 27,744.11 is: 38,286.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,405.61 : 69,559.19 = 27,744.11 : x
  2. Step 2: Convert to fraction form
    50,405.61/69,559.19 = 27,744.11/x
  3. Step 3: Cross multiply
    50,405.61x = 69,559.19 × 27,744.11
  4. Step 4: Simplify right side
    50,405.61x = 1,929,857,854.05
  5. Step 5: Solve for x
    x = 1,929,857,854.05/50,405.61
  6. Step 6: Final answer
    x = 38,286.57

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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.