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Finding the Fourth Proportional to 33,559.36, 50,339.20 and 10,186

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Solution

The fourth proportional to 33,559.36, 50,339.20 and 10,186 is: 15,279.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,559.36 : 50,339.20 = 10,186 : x
  2. Step 2: Convert to fraction form
    33,559.36/50,339.20 = 10,186/x
  3. Step 3: Cross multiply
    33,559.36x = 50,339.20 × 10,186
  4. Step 4: Simplify right side
    33,559.36x = 512,755,091.20
  5. Step 5: Solve for x
    x = 512,755,091.20/33,559.36
  6. Step 6: Final answer
    x = 15,279.05

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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.