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Finding the Fourth Proportional to 33,598.63, 50,405.23 and 10,224.46

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Solution

The fourth proportional to 33,598.63, 50,405.23 and 10,224.46 is: 15,338.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,598.63 : 50,405.23 = 10,224.46 : x
  2. Step 2: Convert to fraction form
    33,598.63/50,405.23 = 10,224.46/x
  3. Step 3: Cross multiply
    33,598.63x = 50,405.23 × 10,224.46
  4. Step 4: Simplify right side
    33,598.63x = 515,366,257.93
  5. Step 5: Solve for x
    x = 515,366,257.93/33,598.63
  6. Step 6: Final answer
    x = 15,338.91

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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.