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Finding the Fourth Proportional to 65,675, 90,631.50 and 35,867

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Solution

The fourth proportional to 65,675, 90,631.50 and 35,867 is: 49,496.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,675 : 90,631.50 = 35,867 : x
  2. Step 2: Convert to fraction form
    65,675/90,631.50 = 35,867/x
  3. Step 3: Cross multiply
    65,675x = 90,631.50 × 35,867
  4. Step 4: Simplify right side
    65,675x = 3,250,680,010.50
  5. Step 5: Solve for x
    x = 3,250,680,010.50/65,675
  6. Step 6: Final answer
    x = 49,496.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.