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Finding the Fourth Proportional to 80,771.78, 111,452.22 and 46,783.44

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Solution

The fourth proportional to 80,771.78, 111,452.22 and 46,783.44 is: 64,553.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,771.78 : 111,452.22 = 46,783.44 : x
  2. Step 2: Convert to fraction form
    80,771.78/111,452.22 = 46,783.44/x
  3. Step 3: Cross multiply
    80,771.78x = 111,452.22 × 46,783.44
  4. Step 4: Simplify right side
    80,771.78x = 5,214,118,247.24
  5. Step 5: Solve for x
    x = 5,214,118,247.24/80,771.78
  6. Step 6: Final answer
    x = 64,553.71

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1.5x scale

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.