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Finding the Fourth Proportional to 33,598.26, 50,405.76 and 10,223.28

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Solution

The fourth proportional to 33,598.26, 50,405.76 and 10,223.28 is: 15,337.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,598.26 : 50,405.76 = 10,223.28 : x
  2. Step 2: Convert to fraction form
    33,598.26/50,405.76 = 10,223.28/x
  3. Step 3: Cross multiply
    33,598.26x = 50,405.76 × 10,223.28
  4. Step 4: Simplify right side
    33,598.26x = 515,312,198.09
  5. Step 5: Solve for x
    x = 515,312,198.09/33,598.26
  6. Step 6: Final answer
    x = 15,337.47

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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.