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Finding the Fourth Proportional to 30,912.28, 46,371.83 and 9,847.42

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Solution

The fourth proportional to 30,912.28, 46,371.83 and 9,847.42 is: 14,772.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,912.28 : 46,371.83 = 9,847.42 : x
  2. Step 2: Convert to fraction form
    30,912.28/46,371.83 = 9,847.42/x
  3. Step 3: Cross multiply
    30,912.28x = 46,371.83 × 9,847.42
  4. Step 4: Simplify right side
    30,912.28x = 456,642,836.94
  5. Step 5: Solve for x
    x = 456,642,836.94/30,912.28
  6. Step 6: Final answer
    x = 14,772.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.