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Finding the Fourth Proportional to 33,199.94, 49,800.06 and 9,826.58

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Solution

The fourth proportional to 33,199.94, 49,800.06 and 9,826.58 is: 14,739.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,199.94 : 49,800.06 = 9,826.58 : x
  2. Step 2: Convert to fraction form
    33,199.94/49,800.06 = 9,826.58/x
  3. Step 3: Cross multiply
    33,199.94x = 49,800.06 × 9,826.58
  4. Step 4: Simplify right side
    33,199.94x = 489,364,273.59
  5. Step 5: Solve for x
    x = 489,364,273.59/33,199.94
  6. Step 6: Final answer
    x = 14,739.91

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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.