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Finding the Fourth Proportional to 29,469.71, 44,207.19 and 8,409.35

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Solution

The fourth proportional to 29,469.71, 44,207.19 and 8,409.35 is: 12,614.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,469.71 : 44,207.19 = 8,409.35 : x
  2. Step 2: Convert to fraction form
    29,469.71/44,207.19 = 8,409.35/x
  3. Step 3: Cross multiply
    29,469.71x = 44,207.19 × 8,409.35
  4. Step 4: Simplify right side
    29,469.71x = 371,753,691.18
  5. Step 5: Solve for x
    x = 371,753,691.18/29,469.71
  6. Step 6: Final answer
    x = 12,614.77

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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.