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Finding the Fourth Proportional to 67,075, 92,563.86 and 37,267

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Solution

The fourth proportional to 67,075, 92,563.86 and 37,267 is: 51,428.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,075 : 92,563.86 = 37,267 : x
  2. Step 2: Convert to fraction form
    67,075/92,563.86 = 37,267/x
  3. Step 3: Cross multiply
    67,075x = 92,563.86 × 37,267
  4. Step 4: Simplify right side
    67,075x = 3,449,577,370.62
  5. Step 5: Solve for x
    x = 3,449,577,370.62/67,075
  6. Step 6: Final answer
    x = 51,428.66

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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.