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Finding the Fourth Proportional to 45,380.16, 68,078.88 and 17,676

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Solution

The fourth proportional to 45,380.16, 68,078.88 and 17,676 is: 26,517.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,380.16 : 68,078.88 = 17,676 : x
  2. Step 2: Convert to fraction form
    45,380.16/68,078.88 = 17,676/x
  3. Step 3: Cross multiply
    45,380.16x = 68,078.88 × 17,676
  4. Step 4: Simplify right side
    45,380.16x = 1,203,362,282.88
  5. Step 5: Solve for x
    x = 1,203,362,282.88/45,380.16
  6. Step 6: Final answer
    x = 26,517.37

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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.