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Finding the Fourth Proportional to 33,709.38, 50,564.09 and 9,085.38

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Solution

The fourth proportional to 33,709.38, 50,564.09 and 9,085.38 is: 13,628.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,709.38 : 50,564.09 = 9,085.38 : x
  2. Step 2: Convert to fraction form
    33,709.38/50,564.09 = 9,085.38/x
  3. Step 3: Cross multiply
    33,709.38x = 50,564.09 × 9,085.38
  4. Step 4: Simplify right side
    33,709.38x = 459,393,972.00
  5. Step 5: Solve for x
    x = 459,393,972.00/33,709.38
  6. Step 6: Final answer
    x = 13,628.08

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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.