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Finding the Fourth Proportional to 33,598.13, 50,404.47 and 10,223.96

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Solution

The fourth proportional to 33,598.13, 50,404.47 and 10,223.96 is: 15,338.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,598.13 : 50,404.47 = 10,223.96 : x
  2. Step 2: Convert to fraction form
    33,598.13/50,404.47 = 10,223.96/x
  3. Step 3: Cross multiply
    33,598.13x = 50,404.47 × 10,223.96
  4. Step 4: Simplify right side
    33,598.13x = 515,333,033.08
  5. Step 5: Solve for x
    x = 515,333,033.08/33,598.13
  6. Step 6: Final answer
    x = 15,338.15

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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.