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Finding the Fourth Proportional to 50,107.14, 69,161.85 and 49,348.98

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Solution

The fourth proportional to 50,107.14, 69,161.85 and 49,348.98 is: 68,115.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,107.14 : 69,161.85 = 49,348.98 : x
  2. Step 2: Convert to fraction form
    50,107.14/69,161.85 = 49,348.98/x
  3. Step 3: Cross multiply
    50,107.14x = 69,161.85 × 49,348.98
  4. Step 4: Simplify right side
    50,107.14x = 3,413,066,752.41
  5. Step 5: Solve for x
    x = 3,413,066,752.41/50,107.14
  6. Step 6: Final answer
    x = 68,115.38

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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.