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Finding the Fourth Proportional to 33,021.65, 49,531.45 and 8,061.83

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Solution

The fourth proportional to 33,021.65, 49,531.45 and 8,061.83 is: 12,092.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,021.65 : 49,531.45 = 8,061.83 : x
  2. Step 2: Convert to fraction form
    33,021.65/49,531.45 = 8,061.83/x
  3. Step 3: Cross multiply
    33,021.65x = 49,531.45 × 8,061.83
  4. Step 4: Simplify right side
    33,021.65x = 399,314,062.60
  5. Step 5: Solve for x
    x = 399,314,062.60/33,021.65
  6. Step 6: Final answer
    x = 12,092.49

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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.