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Finding the Fourth Proportional to 82,033.20, 123,043.40 and 32,103.60

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Solution

The fourth proportional to 82,033.20, 123,043.40 and 32,103.60 is: 48,152.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,033.20 : 123,043.40 = 32,103.60 : x
  2. Step 2: Convert to fraction form
    82,033.20/123,043.40 = 32,103.60/x
  3. Step 3: Cross multiply
    82,033.20x = 123,043.40 × 32,103.60
  4. Step 4: Simplify right side
    82,033.20x = 3,950,136,096.24
  5. Step 5: Solve for x
    x = 3,950,136,096.24/82,033.20
  6. Step 6: Final answer
    x = 48,152.90

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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.