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Finding the Fourth Proportional to 29,056.96, 43,593 and 8,282.08

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Solution

The fourth proportional to 29,056.96, 43,593 and 8,282.08 is: 12,425.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,056.96 : 43,593 = 8,282.08 : x
  2. Step 2: Convert to fraction form
    29,056.96/43,593 = 8,282.08/x
  3. Step 3: Cross multiply
    29,056.96x = 43,593 × 8,282.08
  4. Step 4: Simplify right side
    29,056.96x = 361,040,713.44
  5. Step 5: Solve for x
    x = 361,040,713.44/29,056.96
  6. Step 6: Final answer
    x = 12,425.27

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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.