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Finding the Fourth Proportional to 66,075, 91,184.94 and 36,267

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Solution

The fourth proportional to 66,075, 91,184.94 and 36,267 is: 50,049.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,075 : 91,184.94 = 36,267 : x
  2. Step 2: Convert to fraction form
    66,075/91,184.94 = 36,267/x
  3. Step 3: Cross multiply
    66,075x = 91,184.94 × 36,267
  4. Step 4: Simplify right side
    66,075x = 3,307,004,218.98
  5. Step 5: Solve for x
    x = 3,307,004,218.98/66,075
  6. Step 6: Final answer
    x = 50,049.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.