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Finding the Fourth Proportional to 36,826.34, 50,820.09 and 20,059.34

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Solution

The fourth proportional to 36,826.34, 50,820.09 and 20,059.34 is: 27,681.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,826.34 : 50,820.09 = 20,059.34 : x
  2. Step 2: Convert to fraction form
    36,826.34/50,820.09 = 20,059.34/x
  3. Step 3: Cross multiply
    36,826.34x = 50,820.09 × 20,059.34
  4. Step 4: Simplify right side
    36,826.34x = 1,019,417,464.14
  5. Step 5: Solve for x
    x = 1,019,417,464.14/36,826.34
  6. Step 6: Final answer
    x = 27,681.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.