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Finding the Fourth Proportional to 68,175.69, 102,268.19 and 23,178.73

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Solution

The fourth proportional to 68,175.69, 102,268.19 and 23,178.73 is: 34,769.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,175.69 : 102,268.19 = 23,178.73 : x
  2. Step 2: Convert to fraction form
    68,175.69/102,268.19 = 23,178.73/x
  3. Step 3: Cross multiply
    68,175.69x = 102,268.19 × 23,178.73
  4. Step 4: Simplify right side
    68,175.69x = 2,370,446,565.88
  5. Step 5: Solve for x
    x = 2,370,446,565.88/68,175.69
  6. Step 6: Final answer
    x = 34,769.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.