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Finding the Fourth Proportional to 76,738.68, 115,049.70 and 63,675

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Solution

The fourth proportional to 76,738.68, 115,049.70 and 63,675 is: 95,464.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,738.68 : 115,049.70 = 63,675 : x
  2. Step 2: Convert to fraction form
    76,738.68/115,049.70 = 63,675/x
  3. Step 3: Cross multiply
    76,738.68x = 115,049.70 × 63,675
  4. Step 4: Simplify right side
    76,738.68x = 7,325,789,647.50
  5. Step 5: Solve for x
    x = 7,325,789,647.50/76,738.68
  6. Step 6: Final answer
    x = 95,464.11

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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.