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Finding the Fourth Proportional to 37,520.21, 51,506.75 and 32,205.80

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Solution

The fourth proportional to 37,520.21, 51,506.75 and 32,205.80 is: 44,211.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,520.21 : 51,506.75 = 32,205.80 : x
  2. Step 2: Convert to fraction form
    37,520.21/51,506.75 = 32,205.80/x
  3. Step 3: Cross multiply
    37,520.21x = 51,506.75 × 32,205.80
  4. Step 4: Simplify right side
    37,520.21x = 1,658,816,298.43
  5. Step 5: Solve for x
    x = 1,658,816,298.43/37,520.21
  6. Step 6: Final answer
    x = 44,211.27

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.