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Finding the Fourth Proportional to 33,223.19, 49,826.21 and 9,844.16

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Solution

The fourth proportional to 33,223.19, 49,826.21 and 9,844.16 is: 14,763.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,223.19 : 49,826.21 = 9,844.16 : x
  2. Step 2: Convert to fraction form
    33,223.19/49,826.21 = 9,844.16/x
  3. Step 3: Cross multiply
    33,223.19x = 49,826.21 × 9,844.16
  4. Step 4: Simplify right side
    33,223.19x = 490,496,885.08
  5. Step 5: Solve for x
    x = 490,496,885.08/33,223.19
  6. Step 6: Final answer
    x = 14,763.69

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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.