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Finding the Fourth Proportional to 50,450.86, 69,549.46 and 35,296.57

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Solution

The fourth proportional to 50,450.86, 69,549.46 and 35,296.57 is: 48,658.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,450.86 : 69,549.46 = 35,296.57 : x
  2. Step 2: Convert to fraction form
    50,450.86/69,549.46 = 35,296.57/x
  3. Step 3: Cross multiply
    50,450.86x = 69,549.46 × 35,296.57
  4. Step 4: Simplify right side
    50,450.86x = 2,454,857,383.35
  5. Step 5: Solve for x
    x = 2,454,857,383.35/50,450.86
  6. Step 6: Final answer
    x = 48,658.39

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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.