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Finding the Fourth Proportional to 33,183.48, 49,779.90 and 12,405

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Solution

The fourth proportional to 33,183.48, 49,779.90 and 12,405 is: 18,609.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,183.48 : 49,779.90 = 12,405 : x
  2. Step 2: Convert to fraction form
    33,183.48/49,779.90 = 12,405/x
  3. Step 3: Cross multiply
    33,183.48x = 49,779.90 × 12,405
  4. Step 4: Simplify right side
    33,183.48x = 617,519,659.50
  5. Step 5: Solve for x
    x = 617,519,659.50/33,183.48
  6. Step 6: Final answer
    x = 18,609.25

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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.