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Finding the Fourth Proportional to 36,568.50, 54,852.75 and 8,866.50

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Solution

The fourth proportional to 36,568.50, 54,852.75 and 8,866.50 is: 13,299.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,568.50 : 54,852.75 = 8,866.50 : x
  2. Step 2: Convert to fraction form
    36,568.50/54,852.75 = 8,866.50/x
  3. Step 3: Cross multiply
    36,568.50x = 54,852.75 × 8,866.50
  4. Step 4: Simplify right side
    36,568.50x = 486,351,907.88
  5. Step 5: Solve for x
    x = 486,351,907.88/36,568.50
  6. Step 6: Final answer
    x = 13,299.75

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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.