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Finding the Fourth Proportional to 33,709.26, 50,563.90 and 9,085.26

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Solution

The fourth proportional to 33,709.26, 50,563.90 and 9,085.26 is: 13,627.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,709.26 : 50,563.90 = 9,085.26 : x
  2. Step 2: Convert to fraction form
    33,709.26/50,563.90 = 9,085.26/x
  3. Step 3: Cross multiply
    33,709.26x = 50,563.90 × 9,085.26
  4. Step 4: Simplify right side
    33,709.26x = 459,386,178.11
  5. Step 5: Solve for x
    x = 459,386,178.11/33,709.26
  6. Step 6: Final answer
    x = 13,627.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.