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Finding the Fourth Proportional to 82,126.54, 123,188.73 and 19,796.50

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Solution

The fourth proportional to 82,126.54, 123,188.73 and 19,796.50 is: 29,694.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,126.54 : 123,188.73 = 19,796.50 : x
  2. Step 2: Convert to fraction form
    82,126.54/123,188.73 = 19,796.50/x
  3. Step 3: Cross multiply
    82,126.54x = 123,188.73 × 19,796.50
  4. Step 4: Simplify right side
    82,126.54x = 2,438,705,693.45
  5. Step 5: Solve for x
    x = 2,438,705,693.45/82,126.54
  6. Step 6: Final answer
    x = 29,694.49

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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.