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Finding the Fourth Proportional to 36,205.20, 54,307.80 and 33,580.80

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Solution

The fourth proportional to 36,205.20, 54,307.80 and 33,580.80 is: 50,371.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,205.20 : 54,307.80 = 33,580.80 : x
  2. Step 2: Convert to fraction form
    36,205.20/54,307.80 = 33,580.80/x
  3. Step 3: Cross multiply
    36,205.20x = 54,307.80 × 33,580.80
  4. Step 4: Simplify right side
    36,205.20x = 1,823,699,370.24
  5. Step 5: Solve for x
    x = 1,823,699,370.24/36,205.20
  6. Step 6: Final answer
    x = 50,371.20

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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.