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Finding the Fourth Proportional to 82,313.38, 123,477.36 and 23,149.54

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Solution

The fourth proportional to 82,313.38, 123,477.36 and 23,149.54 is: 34,726.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,313.38 : 123,477.36 = 23,149.54 : x
  2. Step 2: Convert to fraction form
    82,313.38/123,477.36 = 23,149.54/x
  3. Step 3: Cross multiply
    82,313.38x = 123,477.36 × 23,149.54
  4. Step 4: Simplify right side
    82,313.38x = 2,858,444,084.41
  5. Step 5: Solve for x
    x = 2,858,444,084.41/82,313.38
  6. Step 6: Final answer
    x = 34,726.36

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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.