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Finding the Fourth Proportional to 82,149.20, 123,237.08 and 32,202.20

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Solution

The fourth proportional to 82,149.20, 123,237.08 and 32,202.20 is: 48,308.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,149.20 : 123,237.08 = 32,202.20 : x
  2. Step 2: Convert to fraction form
    82,149.20/123,237.08 = 32,202.20/x
  3. Step 3: Cross multiply
    82,149.20x = 123,237.08 × 32,202.20
  4. Step 4: Simplify right side
    82,149.20x = 3,968,505,097.58
  5. Step 5: Solve for x
    x = 3,968,505,097.58/82,149.20
  6. Step 6: Final answer
    x = 48,308.51

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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.