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Finding the Fourth Proportional to 29,469.01, 44,204.97 and 8,412.15

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Solution

The fourth proportional to 29,469.01, 44,204.97 and 8,412.15 is: 12,618.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,469.01 : 44,204.97 = 8,412.15 : x
  2. Step 2: Convert to fraction form
    29,469.01/44,204.97 = 8,412.15/x
  3. Step 3: Cross multiply
    29,469.01x = 44,204.97 × 8,412.15
  4. Step 4: Simplify right side
    29,469.01x = 371,858,838.39
  5. Step 5: Solve for x
    x = 371,858,838.39/29,469.01
  6. Step 6: Final answer
    x = 12,618.64

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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.