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Finding the Fourth Proportional to 33,223.34, 49,853.24 and 13,496.60

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Solution

The fourth proportional to 33,223.34, 49,853.24 and 13,496.60 is: 20,252.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,223.34 : 49,853.24 = 13,496.60 : x
  2. Step 2: Convert to fraction form
    33,223.34/49,853.24 = 13,496.60/x
  3. Step 3: Cross multiply
    33,223.34x = 49,853.24 × 13,496.60
  4. Step 4: Simplify right side
    33,223.34x = 672,849,346.75
  5. Step 5: Solve for x
    x = 672,849,346.75/33,223.34
  6. Step 6: Final answer
    x = 20,252.31

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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.