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Finding the Fourth Proportional to 33,588.60, 50,381.09 and 10,213.22

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Solution

The fourth proportional to 33,588.60, 50,381.09 and 10,213.22 is: 15,319.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,588.60 : 50,381.09 = 10,213.22 : x
  2. Step 2: Convert to fraction form
    33,588.60/50,381.09 = 10,213.22/x
  3. Step 3: Cross multiply
    33,588.60x = 50,381.09 × 10,213.22
  4. Step 4: Simplify right side
    33,588.60x = 514,552,853.04
  5. Step 5: Solve for x
    x = 514,552,853.04/33,588.60
  6. Step 6: Final answer
    x = 15,319.27

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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.