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Finding the Fourth Proportional to 33,209.44, 49,807.20 and 9,836.08

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Solution

The fourth proportional to 33,209.44, 49,807.20 and 9,836.08 is: 14,752.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,209.44 : 49,807.20 = 9,836.08 : x
  2. Step 2: Convert to fraction form
    33,209.44/49,807.20 = 9,836.08/x
  3. Step 3: Cross multiply
    33,209.44x = 49,807.20 × 9,836.08
  4. Step 4: Simplify right side
    33,209.44x = 489,907,603.78
  5. Step 5: Solve for x
    x = 489,907,603.78/33,209.44
  6. Step 6: Final answer
    x = 14,752.06

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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.