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Finding the Fourth Proportional to 33,234.80, 49,835.10 and 9,858.20

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Solution

The fourth proportional to 33,234.80, 49,835.10 and 9,858.20 is: 14,782.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,234.80 : 49,835.10 = 9,858.20 : x
  2. Step 2: Convert to fraction form
    33,234.80/49,835.10 = 9,858.20/x
  3. Step 3: Cross multiply
    33,234.80x = 49,835.10 × 9,858.20
  4. Step 4: Simplify right side
    33,234.80x = 491,284,382.82
  5. Step 5: Solve for x
    x = 491,284,382.82/33,234.80
  6. Step 6: Final answer
    x = 14,782.23

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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.