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Finding the Fourth Proportional to 27,794.80, 41,692.20 and 8,075.35

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Solution

The fourth proportional to 27,794.80, 41,692.20 and 8,075.35 is: 12,113.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,794.80 : 41,692.20 = 8,075.35 : x
  2. Step 2: Convert to fraction form
    27,794.80/41,692.20 = 8,075.35/x
  3. Step 3: Cross multiply
    27,794.80x = 41,692.20 × 8,075.35
  4. Step 4: Simplify right side
    27,794.80x = 336,679,107.27
  5. Step 5: Solve for x
    x = 336,679,107.27/27,794.80
  6. Step 6: Final answer
    x = 12,113.03

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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.