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Finding the Fourth Proportional to 96,199.12, 144,297.06 and 33,868

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Solution

The fourth proportional to 96,199.12, 144,297.06 and 33,868 is: 50,801.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,199.12 : 144,297.06 = 33,868 : x
  2. Step 2: Convert to fraction form
    96,199.12/144,297.06 = 33,868/x
  3. Step 3: Cross multiply
    96,199.12x = 144,297.06 × 33,868
  4. Step 4: Simplify right side
    96,199.12x = 4,887,052,828.08
  5. Step 5: Solve for x
    x = 4,887,052,828.08/96,199.12
  6. Step 6: Final answer
    x = 50,801.43

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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.