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Finding the Fourth Proportional to 33,224.34, 49,854.74 and 13,497.60

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Solution

The fourth proportional to 33,224.34, 49,854.74 and 13,497.60 is: 20,253.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,224.34 : 49,854.74 = 13,497.60 : x
  2. Step 2: Convert to fraction form
    33,224.34/49,854.74 = 13,497.60/x
  3. Step 3: Cross multiply
    33,224.34x = 49,854.74 × 13,497.60
  4. Step 4: Simplify right side
    33,224.34x = 672,919,338.62
  5. Step 5: Solve for x
    x = 672,919,338.62/33,224.34
  6. Step 6: Final answer
    x = 20,253.81

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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.