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Finding the Fourth Proportional to 82,343.12, 123,503.74 and 23,183.89

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Solution

The fourth proportional to 82,343.12, 123,503.74 and 23,183.89 is: 34,772.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,343.12 : 123,503.74 = 23,183.89 : x
  2. Step 2: Convert to fraction form
    82,343.12/123,503.74 = 23,183.89/x
  3. Step 3: Cross multiply
    82,343.12x = 123,503.74 × 23,183.89
  4. Step 4: Simplify right side
    82,343.12x = 2,863,296,756.03
  5. Step 5: Solve for x
    x = 2,863,296,756.03/82,343.12
  6. Step 6: Final answer
    x = 34,772.75

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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.