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Finding the Fourth Proportional to 45,380.75, 68,082.06 and 14,216

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Solution

The fourth proportional to 45,380.75, 68,082.06 and 14,216 is: 21,327.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,380.75 : 68,082.06 = 14,216 : x
  2. Step 2: Convert to fraction form
    45,380.75/68,082.06 = 14,216/x
  3. Step 3: Cross multiply
    45,380.75x = 68,082.06 × 14,216
  4. Step 4: Simplify right side
    45,380.75x = 967,854,564.96
  5. Step 5: Solve for x
    x = 967,854,564.96/45,380.75
  6. Step 6: Final answer
    x = 21,327.43

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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.