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Finding the Fourth Proportional to 67,046.98, 100,605.30 and 27,075.79

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Solution

The fourth proportional to 67,046.98, 100,605.30 and 27,075.79 is: 40,627.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,046.98 : 100,605.30 = 27,075.79 : x
  2. Step 2: Convert to fraction form
    67,046.98/100,605.30 = 27,075.79/x
  3. Step 3: Cross multiply
    67,046.98x = 100,605.30 × 27,075.79
  4. Step 4: Simplify right side
    67,046.98x = 2,723,967,975.69
  5. Step 5: Solve for x
    x = 2,723,967,975.69/67,046.98
  6. Step 6: Final answer
    x = 40,627.75

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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.