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Finding the Fourth Proportional to 35,845.83, 49,471.10 and 20,738.21

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Solution

The fourth proportional to 35,845.83, 49,471.10 and 20,738.21 is: 28,620.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,845.83 : 49,471.10 = 20,738.21 : x
  2. Step 2: Convert to fraction form
    35,845.83/49,471.10 = 20,738.21/x
  3. Step 3: Cross multiply
    35,845.83x = 49,471.10 × 20,738.21
  4. Step 4: Simplify right side
    35,845.83x = 1,025,941,709.68
  5. Step 5: Solve for x
    x = 1,025,941,709.68/35,845.83
  6. Step 6: Final answer
    x = 28,620.95

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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.