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Finding the Fourth Proportional to 36,297.50, 54,395.16 and 28,869

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Solution

The fourth proportional to 36,297.50, 54,395.16 and 28,869 is: 43,262.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,297.50 : 54,395.16 = 28,869 : x
  2. Step 2: Convert to fraction form
    36,297.50/54,395.16 = 28,869/x
  3. Step 3: Cross multiply
    36,297.50x = 54,395.16 × 28,869
  4. Step 4: Simplify right side
    36,297.50x = 1,570,333,874.04
  5. Step 5: Solve for x
    x = 1,570,333,874.04/36,297.50
  6. Step 6: Final answer
    x = 43,262.87

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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.