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Finding the Fourth Proportional to 82,313.49, 123,470.69 and 23,149.67

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Solution

The fourth proportional to 82,313.49, 123,470.69 and 23,149.67 is: 34,724.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,313.49 : 123,470.69 = 23,149.67 : x
  2. Step 2: Convert to fraction form
    82,313.49/123,470.69 = 23,149.67/x
  3. Step 3: Cross multiply
    82,313.49x = 123,470.69 × 23,149.67
  4. Step 4: Simplify right side
    82,313.49x = 2,858,305,728.17
  5. Step 5: Solve for x
    x = 2,858,305,728.17/82,313.49
  6. Step 6: Final answer
    x = 34,724.63

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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.