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Finding the Fourth Proportional to 27,790.44, 41,692.54 and 8,070.44

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Solution

The fourth proportional to 27,790.44, 41,692.54 and 8,070.44 is: 12,107.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,790.44 : 41,692.54 = 8,070.44 : x
  2. Step 2: Convert to fraction form
    27,790.44/41,692.54 = 8,070.44/x
  3. Step 3: Cross multiply
    27,790.44x = 41,692.54 × 8,070.44
  4. Step 4: Simplify right side
    27,790.44x = 336,477,142.52
  5. Step 5: Solve for x
    x = 336,477,142.52/27,790.44
  6. Step 6: Final answer
    x = 12,107.66

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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.