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Finding the Fourth Proportional to 33,228.63, 49,852.67 and 9,855.68

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Solution

The fourth proportional to 33,228.63, 49,852.67 and 9,855.68 is: 14,786.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,228.63 : 49,852.67 = 9,855.68 : x
  2. Step 2: Convert to fraction form
    33,228.63/49,852.67 = 9,855.68/x
  3. Step 3: Cross multiply
    33,228.63x = 49,852.67 × 9,855.68
  4. Step 4: Simplify right side
    33,228.63x = 491,331,664.12
  5. Step 5: Solve for x
    x = 491,331,664.12/33,228.63
  6. Step 6: Final answer
    x = 14,786.40

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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.