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Finding the Fourth Proportional to 67,234.42, 100,782.43 and 29,812.11

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Solution

The fourth proportional to 67,234.42, 100,782.43 and 29,812.11 is: 44,687.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,234.42 : 100,782.43 = 29,812.11 : x
  2. Step 2: Convert to fraction form
    67,234.42/100,782.43 = 29,812.11/x
  3. Step 3: Cross multiply
    67,234.42x = 100,782.43 × 29,812.11
  4. Step 4: Simplify right side
    67,234.42x = 3,004,537,145.39
  5. Step 5: Solve for x
    x = 3,004,537,145.39/67,234.42
  6. Step 6: Final answer
    x = 44,687.49

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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.