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Finding the Fourth Proportional to 29,834.94, 44,754.06 and 9,843.64

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Solution

The fourth proportional to 29,834.94, 44,754.06 and 9,843.64 is: 14,766.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,834.94 : 44,754.06 = 9,843.64 : x
  2. Step 2: Convert to fraction form
    29,834.94/44,754.06 = 9,843.64/x
  3. Step 3: Cross multiply
    29,834.94x = 44,754.06 × 9,843.64
  4. Step 4: Simplify right side
    29,834.94x = 440,542,855.18
  5. Step 5: Solve for x
    x = 440,542,855.18/29,834.94
  6. Step 6: Final answer
    x = 14,766.00

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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.