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Finding the Fourth Proportional to 33,204.95, 49,814.72 and 9,833.21

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Solution

The fourth proportional to 33,204.95, 49,814.72 and 9,833.21 is: 14,751.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,204.95 : 49,814.72 = 9,833.21 : x
  2. Step 2: Convert to fraction form
    33,204.95/49,814.72 = 9,833.21/x
  3. Step 3: Cross multiply
    33,204.95x = 49,814.72 × 9,833.21
  4. Step 4: Simplify right side
    33,204.95x = 489,838,602.85
  5. Step 5: Solve for x
    x = 489,838,602.85/33,204.95
  6. Step 6: Final answer
    x = 14,751.98

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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.