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Finding the Fourth Proportional to 29,945.92, 44,917.26 and 9,169.42

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Solution

The fourth proportional to 29,945.92, 44,917.26 and 9,169.42 is: 13,753.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,945.92 : 44,917.26 = 9,169.42 : x
  2. Step 2: Convert to fraction form
    29,945.92/44,917.26 = 9,169.42/x
  3. Step 3: Cross multiply
    29,945.92x = 44,917.26 × 9,169.42
  4. Step 4: Simplify right side
    29,945.92x = 411,865,222.19
  5. Step 5: Solve for x
    x = 411,865,222.19/29,945.92
  6. Step 6: Final answer
    x = 13,753.63

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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.