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Finding the Fourth Proportional to 33,085.56, 49,631.58 and 10,899.12

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Solution

The fourth proportional to 33,085.56, 49,631.58 and 10,899.12 is: 16,349.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,085.56 : 49,631.58 = 10,899.12 : x
  2. Step 2: Convert to fraction form
    33,085.56/49,631.58 = 10,899.12/x
  3. Step 3: Cross multiply
    33,085.56x = 49,631.58 × 10,899.12
  4. Step 4: Simplify right side
    33,085.56x = 540,940,546.21
  5. Step 5: Solve for x
    x = 540,940,546.21/33,085.56
  6. Step 6: Final answer
    x = 16,349.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.