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Finding the Fourth Proportional to 33,205.07, 49,814.90 and 9,833.33

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Solution

The fourth proportional to 33,205.07, 49,814.90 and 9,833.33 is: 14,752.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,205.07 : 49,814.90 = 9,833.33 : x
  2. Step 2: Convert to fraction form
    33,205.07/49,814.90 = 9,833.33/x
  3. Step 3: Cross multiply
    33,205.07x = 49,814.90 × 9,833.33
  4. Step 4: Simplify right side
    33,205.07x = 489,846,462.86
  5. Step 5: Solve for x
    x = 489,846,462.86/33,205.07
  6. Step 6: Final answer
    x = 14,752.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.