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Finding the Fourth Proportional to 81,840.50, 122,760.41 and 22,676.00

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Solution

The fourth proportional to 81,840.50, 122,760.41 and 22,676.00 is: 34,013.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,840.50 : 122,760.41 = 22,676.00 : x
  2. Step 2: Convert to fraction form
    81,840.50/122,760.41 = 22,676.00/x
  3. Step 3: Cross multiply
    81,840.50x = 122,760.41 × 22,676.00
  4. Step 4: Simplify right side
    81,840.50x = 2,783,715,148.06
  5. Step 5: Solve for x
    x = 2,783,715,148.06/81,840.50
  6. Step 6: Final answer
    x = 34,013.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.