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Finding the Fourth Proportional to 43,843.84, 65,757.84 and 14,257.60

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Solution

The fourth proportional to 43,843.84, 65,757.84 and 14,257.60 is: 21,383.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,843.84 : 65,757.84 = 14,257.60 : x
  2. Step 2: Convert to fraction form
    43,843.84/65,757.84 = 14,257.60/x
  3. Step 3: Cross multiply
    43,843.84x = 65,757.84 × 14,257.60
  4. Step 4: Simplify right side
    43,843.84x = 937,548,979.58
  5. Step 5: Solve for x
    x = 937,548,979.58/43,843.84
  6. Step 6: Final answer
    x = 21,383.82

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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.