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Finding the Fourth Proportional to 82,647.80, 123,902.04 and 35,865.44

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Solution

The fourth proportional to 82,647.80, 123,902.04 and 35,865.44 is: 53,767.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,647.80 : 123,902.04 = 35,865.44 : x
  2. Step 2: Convert to fraction form
    82,647.80/123,902.04 = 35,865.44/x
  3. Step 3: Cross multiply
    82,647.80x = 123,902.04 × 35,865.44
  4. Step 4: Simplify right side
    82,647.80x = 4,443,801,181.50
  5. Step 5: Solve for x
    x = 4,443,801,181.50/82,647.80
  6. Step 6: Final answer
    x = 53,767.93

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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.