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Finding the Fourth Proportional to 69,893.82, 104,840.98 and 27,771.17

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Solution

The fourth proportional to 69,893.82, 104,840.98 and 27,771.17 is: 41,656.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,893.82 : 104,840.98 = 27,771.17 : x
  2. Step 2: Convert to fraction form
    69,893.82/104,840.98 = 27,771.17/x
  3. Step 3: Cross multiply
    69,893.82x = 104,840.98 × 27,771.17
  4. Step 4: Simplify right side
    69,893.82x = 2,911,556,084.91
  5. Step 5: Solve for x
    x = 2,911,556,084.91/69,893.82
  6. Step 6: Final answer
    x = 41,656.85

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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.