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Finding the Fourth Proportional to 33,205.78, 49,808.58 and 9,834.04

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Solution

The fourth proportional to 33,205.78, 49,808.58 and 9,834.04 is: 14,751.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,205.78 : 49,808.58 = 9,834.04 : x
  2. Step 2: Convert to fraction form
    33,205.78/49,808.58 = 9,834.04/x
  3. Step 3: Cross multiply
    33,205.78x = 49,808.58 × 9,834.04
  4. Step 4: Simplify right side
    33,205.78x = 489,819,568.06
  5. Step 5: Solve for x
    x = 489,819,568.06/33,205.78
  6. Step 6: Final answer
    x = 14,751.03

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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.