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Finding the Fourth Proportional to 67,242.46, 100,816.98 and 29,782.12

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Solution

The fourth proportional to 67,242.46, 100,816.98 and 29,782.12 is: 44,652.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,242.46 : 100,816.98 = 29,782.12 : x
  2. Step 2: Convert to fraction form
    67,242.46/100,816.98 = 29,782.12/x
  3. Step 3: Cross multiply
    67,242.46x = 100,816.98 × 29,782.12
  4. Step 4: Simplify right side
    67,242.46x = 3,002,543,396.40
  5. Step 5: Solve for x
    x = 3,002,543,396.40/67,242.46
  6. Step 6: Final answer
    x = 44,652.49

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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.