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Finding the Fourth Proportional to 29,469.46, 44,206.81 and 8,409.10

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Solution

The fourth proportional to 29,469.46, 44,206.81 and 8,409.10 is: 12,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,469.46 : 44,206.81 = 8,409.10 : x
  2. Step 2: Convert to fraction form
    29,469.46/44,206.81 = 8,409.10/x
  3. Step 3: Cross multiply
    29,469.46x = 44,206.81 × 8,409.10
  4. Step 4: Simplify right side
    29,469.46x = 371,739,485.97
  5. Step 5: Solve for x
    x = 371,739,485.97/29,469.46
  6. Step 6: Final answer
    x = 12,614.40

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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.