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Finding the Fourth Proportional to 33,782.95, 50,657.21 and 11,285.53

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Solution

The fourth proportional to 33,782.95, 50,657.21 and 11,285.53 is: 16,922.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,782.95 : 50,657.21 = 11,285.53 : x
  2. Step 2: Convert to fraction form
    33,782.95/50,657.21 = 11,285.53/x
  3. Step 3: Cross multiply
    33,782.95x = 50,657.21 × 11,285.53
  4. Step 4: Simplify right side
    33,782.95x = 571,693,463.17
  5. Step 5: Solve for x
    x = 571,693,463.17/33,782.95
  6. Step 6: Final answer
    x = 16,922.54

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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.