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Finding the Fourth Proportional to 80,814.42, 111,594.41 and 50,651.60

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Solution

The fourth proportional to 80,814.42, 111,594.41 and 50,651.60 is: 69,943.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,814.42 : 111,594.41 = 50,651.60 : x
  2. Step 2: Convert to fraction form
    80,814.42/111,594.41 = 50,651.60/x
  3. Step 3: Cross multiply
    80,814.42x = 111,594.41 × 50,651.60
  4. Step 4: Simplify right side
    80,814.42x = 5,652,434,606.33
  5. Step 5: Solve for x
    x = 5,652,434,606.33/80,814.42
  6. Step 6: Final answer
    x = 69,943.39

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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.