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Finding the Fourth Proportional to 45,930.75, 68,896.13 and 14,766

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Solution

The fourth proportional to 45,930.75, 68,896.13 and 14,766 is: 22,149

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,930.75 : 68,896.13 = 14,766 : x
  2. Step 2: Convert to fraction form
    45,930.75/68,896.13 = 14,766/x
  3. Step 3: Cross multiply
    45,930.75x = 68,896.13 × 14,766
  4. Step 4: Simplify right side
    45,930.75x = 1,017,320,181.75
  5. Step 5: Solve for x
    x = 1,017,320,181.75/45,930.75
  6. Step 6: Final answer
    x = 22,149

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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.