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Finding the Fourth Proportional to 33,154.58, 49,731.38 and 8,194.63

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Solution

The fourth proportional to 33,154.58, 49,731.38 and 8,194.63 is: 12,291.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,154.58 : 49,731.38 = 8,194.63 : x
  2. Step 2: Convert to fraction form
    33,154.58/49,731.38 = 8,194.63/x
  3. Step 3: Cross multiply
    33,154.58x = 49,731.38 × 8,194.63
  4. Step 4: Simplify right side
    33,154.58x = 407,530,258.49
  5. Step 5: Solve for x
    x = 407,530,258.49/33,154.58
  6. Step 6: Final answer
    x = 12,291.82

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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.