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Finding the Fourth Proportional to 82,433.70, 123,650.55 and 49,191.30

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Solution

The fourth proportional to 82,433.70, 123,650.55 and 49,191.30 is: 73,786.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,433.70 : 123,650.55 = 49,191.30 : x
  2. Step 2: Convert to fraction form
    82,433.70/123,650.55 = 49,191.30/x
  3. Step 3: Cross multiply
    82,433.70x = 123,650.55 × 49,191.30
  4. Step 4: Simplify right side
    82,433.70x = 6,082,531,300.22
  5. Step 5: Solve for x
    x = 6,082,531,300.22/82,433.70
  6. Step 6: Final answer
    x = 73,786.95

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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.