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Finding the Fourth Proportional to 36,378.19, 50,201.37 and 20,462.59

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Solution

The fourth proportional to 36,378.19, 50,201.37 and 20,462.59 is: 28,238.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,378.19 : 50,201.37 = 20,462.59 : x
  2. Step 2: Convert to fraction form
    36,378.19/50,201.37 = 20,462.59/x
  3. Step 3: Cross multiply
    36,378.19x = 50,201.37 × 20,462.59
  4. Step 4: Simplify right side
    36,378.19x = 1,027,250,051.75
  5. Step 5: Solve for x
    x = 1,027,250,051.75/36,378.19
  6. Step 6: Final answer
    x = 28,238.07

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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.