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Finding the Fourth Proportional to 35,828.96, 49,441.68 and 19,912.44

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Solution

The fourth proportional to 35,828.96, 49,441.68 and 19,912.44 is: 27,477.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,828.96 : 49,441.68 = 19,912.44 : x
  2. Step 2: Convert to fraction form
    35,828.96/49,441.68 = 19,912.44/x
  3. Step 3: Cross multiply
    35,828.96x = 49,441.68 × 19,912.44
  4. Step 4: Simplify right side
    35,828.96x = 984,504,486.50
  5. Step 5: Solve for x
    x = 984,504,486.50/35,828.96
  6. Step 6: Final answer
    x = 27,477.90

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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.