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Finding the Fourth Proportional to 33,531.98, 50,285.61 and 9,833.06

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Solution

The fourth proportional to 33,531.98, 50,285.61 and 9,833.06 is: 14,745.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,531.98 : 50,285.61 = 9,833.06 : x
  2. Step 2: Convert to fraction form
    33,531.98/50,285.61 = 9,833.06/x
  3. Step 3: Cross multiply
    33,531.98x = 50,285.61 × 9,833.06
  4. Step 4: Simplify right side
    33,531.98x = 494,461,545.98
  5. Step 5: Solve for x
    x = 494,461,545.98/33,531.98
  6. Step 6: Final answer
    x = 14,745.97

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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.