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Finding the Fourth Proportional to 67,234.92, 100,783.18 and 29,812.62

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Solution

The fourth proportional to 67,234.92, 100,783.18 and 29,812.62 is: 44,688.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,234.92 : 100,783.18 = 29,812.62 : x
  2. Step 2: Convert to fraction form
    67,234.92/100,783.18 = 29,812.62/x
  3. Step 3: Cross multiply
    67,234.92x = 100,783.18 × 29,812.62
  4. Step 4: Simplify right side
    67,234.92x = 3,004,609,994.75
  5. Step 5: Solve for x
    x = 3,004,609,994.75/67,234.92
  6. Step 6: Final answer
    x = 44,688.24

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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.