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Finding the Fourth Proportional to 36,205.20, 54,307.80 and 29,638.80

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Solution

The fourth proportional to 36,205.20, 54,307.80 and 29,638.80 is: 44,458.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,205.20 : 54,307.80 = 29,638.80 : x
  2. Step 2: Convert to fraction form
    36,205.20/54,307.80 = 29,638.80/x
  3. Step 3: Cross multiply
    36,205.20x = 54,307.80 × 29,638.80
  4. Step 4: Simplify right side
    36,205.20x = 1,609,618,022.64
  5. Step 5: Solve for x
    x = 1,609,618,022.64/36,205.20
  6. Step 6: Final answer
    x = 44,458.20

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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.