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Finding the Fourth Proportional to 36,845.24, 50,846.42 and 20,078.24

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Solution

The fourth proportional to 36,845.24, 50,846.42 and 20,078.24 is: 27,707.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,845.24 : 50,846.42 = 20,078.24 : x
  2. Step 2: Convert to fraction form
    36,845.24/50,846.42 = 20,078.24/x
  3. Step 3: Cross multiply
    36,845.24x = 50,846.42 × 20,078.24
  4. Step 4: Simplify right side
    36,845.24x = 1,020,906,269.28
  5. Step 5: Solve for x
    x = 1,020,906,269.28/36,845.24
  6. Step 6: Final answer
    x = 27,707.96

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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.