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Finding the Fourth Proportional to 33,199.70, 49,809.29 and 9,826.74

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Solution

The fourth proportional to 33,199.70, 49,809.29 and 9,826.74 is: 14,742.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,199.70 : 49,809.29 = 9,826.74 : x
  2. Step 2: Convert to fraction form
    33,199.70/49,809.29 = 9,826.74/x
  3. Step 3: Cross multiply
    33,199.70x = 49,809.29 × 9,826.74
  4. Step 4: Simplify right side
    33,199.70x = 489,462,893.28
  5. Step 5: Solve for x
    x = 489,462,893.28/33,199.70
  6. Step 6: Final answer
    x = 14,742.99

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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.