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Finding the Fourth Proportional to 82,311.49, 123,467.69 and 23,147.67

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Solution

The fourth proportional to 82,311.49, 123,467.69 and 23,147.67 is: 34,721.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,311.49 : 123,467.69 = 23,147.67 : x
  2. Step 2: Convert to fraction form
    82,311.49/123,467.69 = 23,147.67/x
  3. Step 3: Cross multiply
    82,311.49x = 123,467.69 × 23,147.67
  4. Step 4: Simplify right side
    82,311.49x = 2,857,989,864.66
  5. Step 5: Solve for x
    x = 2,857,989,864.66/82,311.49
  6. Step 6: Final answer
    x = 34,721.64

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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.