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Finding the Fourth Proportional to 68,150.68, 102,191.46 and 31,183

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Solution

The fourth proportional to 68,150.68, 102,191.46 and 31,183 is: 46,758.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,150.68 : 102,191.46 = 31,183 : x
  2. Step 2: Convert to fraction form
    68,150.68/102,191.46 = 31,183/x
  3. Step 3: Cross multiply
    68,150.68x = 102,191.46 × 31,183
  4. Step 4: Simplify right side
    68,150.68x = 3,186,636,297.18
  5. Step 5: Solve for x
    x = 3,186,636,297.18/68,150.68
  6. Step 6: Final answer
    x = 46,758.69

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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.