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Finding the Fourth Proportional to 36,896.09, 50,917.19 and 20,129.09

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Solution

The fourth proportional to 36,896.09, 50,917.19 and 20,129.09 is: 27,778.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,896.09 : 50,917.19 = 20,129.09 : x
  2. Step 2: Convert to fraction form
    36,896.09/50,917.19 = 20,129.09/x
  3. Step 3: Cross multiply
    36,896.09x = 50,917.19 × 20,129.09
  4. Step 4: Simplify right side
    36,896.09x = 1,024,916,344.83
  5. Step 5: Solve for x
    x = 1,024,916,344.83/36,896.09
  6. Step 6: Final answer
    x = 27,778.46

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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.