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Finding the Fourth Proportional to 33,055.75, 49,583.63 and 8,431.75

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Solution

The fourth proportional to 33,055.75, 49,583.63 and 8,431.75 is: 12,647.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,055.75 : 49,583.63 = 8,431.75 : x
  2. Step 2: Convert to fraction form
    33,055.75/49,583.63 = 8,431.75/x
  3. Step 3: Cross multiply
    33,055.75x = 49,583.63 × 8,431.75
  4. Step 4: Simplify right side
    33,055.75x = 418,076,772.25
  5. Step 5: Solve for x
    x = 418,076,772.25/33,055.75
  6. Step 6: Final answer
    x = 12,647.63

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1.5x scale

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.