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Finding the Fourth Proportional to 73,706.10, 110,231.10 and 61,896.30

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Solution

The fourth proportional to 73,706.10, 110,231.10 and 61,896.30 is: 92,568.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,706.10 : 110,231.10 = 61,896.30 : x
  2. Step 2: Convert to fraction form
    73,706.10/110,231.10 = 61,896.30/x
  3. Step 3: Cross multiply
    73,706.10x = 110,231.10 × 61,896.30
  4. Step 4: Simplify right side
    73,706.10x = 6,822,897,234.93
  5. Step 5: Solve for x
    x = 6,822,897,234.93/73,706.10
  6. Step 6: Final answer
    x = 92,568.96

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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.