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Finding the Fourth Proportional to 27,392.94, 41,064.84 and 9,850.50

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Solution

The fourth proportional to 27,392.94, 41,064.84 and 9,850.50 is: 14,766.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,392.94 : 41,064.84 = 9,850.50 : x
  2. Step 2: Convert to fraction form
    27,392.94/41,064.84 = 9,850.50/x
  3. Step 3: Cross multiply
    27,392.94x = 41,064.84 × 9,850.50
  4. Step 4: Simplify right side
    27,392.94x = 404,509,206.42
  5. Step 5: Solve for x
    x = 404,509,206.42/27,392.94
  6. Step 6: Final answer
    x = 14,766.91

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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.