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Finding the Fourth Proportional to 33,205.76, 49,815.84 and 9,834.08

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Solution

The fourth proportional to 33,205.76, 49,815.84 and 9,834.08 is: 14,753.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,205.76 : 49,815.84 = 9,834.08 : x
  2. Step 2: Convert to fraction form
    33,205.76/49,815.84 = 9,834.08/x
  3. Step 3: Cross multiply
    33,205.76x = 49,815.84 × 9,834.08
  4. Step 4: Simplify right side
    33,205.76x = 489,892,955.83
  5. Step 5: Solve for x
    x = 489,892,955.83/33,205.76
  6. Step 6: Final answer
    x = 14,753.25

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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.