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Finding the Fourth Proportional to 30,896.56, 46,351.26 and 12,428.56

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Solution

The fourth proportional to 30,896.56, 46,351.26 and 12,428.56 is: 18,645.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,896.56 : 46,351.26 = 12,428.56 : x
  2. Step 2: Convert to fraction form
    30,896.56/46,351.26 = 12,428.56/x
  3. Step 3: Cross multiply
    30,896.56x = 46,351.26 × 12,428.56
  4. Step 4: Simplify right side
    30,896.56x = 576,079,415.99
  5. Step 5: Solve for x
    x = 576,079,415.99/30,896.56
  6. Step 6: Final answer
    x = 18,645.42

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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.