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Finding the Fourth Proportional to 33,230.83, 49,846.24 and 9,857.07

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Solution

The fourth proportional to 33,230.83, 49,846.24 and 9,857.07 is: 14,785.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,230.83 : 49,846.24 = 9,857.07 : x
  2. Step 2: Convert to fraction form
    33,230.83/49,846.24 = 9,857.07/x
  3. Step 3: Cross multiply
    33,230.83x = 49,846.24 × 9,857.07
  4. Step 4: Simplify right side
    33,230.83x = 491,337,876.92
  5. Step 5: Solve for x
    x = 491,337,876.92/33,230.83
  6. Step 6: Final answer
    x = 14,785.60

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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.