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Finding the Fourth Proportional to 33,549.63, 50,324.67 and 9,857.08

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Solution

The fourth proportional to 33,549.63, 50,324.67 and 9,857.08 is: 14,785.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,549.63 : 50,324.67 = 9,857.08 : x
  2. Step 2: Convert to fraction form
    33,549.63/50,324.67 = 9,857.08/x
  3. Step 3: Cross multiply
    33,549.63x = 50,324.67 × 9,857.08
  4. Step 4: Simplify right side
    33,549.63x = 496,054,324.11
  5. Step 5: Solve for x
    x = 496,054,324.11/33,549.63
  6. Step 6: Final answer
    x = 14,785.69

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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.