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Finding the Fourth Proportional to 36,142.34, 49,869.87 and 20,826.50

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Solution

The fourth proportional to 36,142.34, 49,869.87 and 20,826.50 is: 28,736.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,142.34 : 49,869.87 = 20,826.50 : x
  2. Step 2: Convert to fraction form
    36,142.34/49,869.87 = 20,826.50/x
  3. Step 3: Cross multiply
    36,142.34x = 49,869.87 × 20,826.50
  4. Step 4: Simplify right side
    36,142.34x = 1,038,614,847.56
  5. Step 5: Solve for x
    x = 1,038,614,847.56/36,142.34
  6. Step 6: Final answer
    x = 28,736.79

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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.