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Finding the Fourth Proportional to 29,274.54, 43,908.96 and 8,212.68

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Solution

The fourth proportional to 29,274.54, 43,908.96 and 8,212.68 is: 12,318.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,274.54 : 43,908.96 = 8,212.68 : x
  2. Step 2: Convert to fraction form
    29,274.54/43,908.96 = 8,212.68/x
  3. Step 3: Cross multiply
    29,274.54x = 43,908.96 × 8,212.68
  4. Step 4: Simplify right side
    29,274.54x = 360,610,237.61
  5. Step 5: Solve for x
    x = 360,610,237.61/29,274.54
  6. Step 6: Final answer
    x = 12,318.22

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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.