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Finding the Fourth Proportional to 32,285.42, 48,435.93 and 11,222.42

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Solution

The fourth proportional to 32,285.42, 48,435.93 and 11,222.42 is: 16,836.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,285.42 : 48,435.93 = 11,222.42 : x
  2. Step 2: Convert to fraction form
    32,285.42/48,435.93 = 11,222.42/x
  3. Step 3: Cross multiply
    32,285.42x = 48,435.93 × 11,222.42
  4. Step 4: Simplify right side
    32,285.42x = 543,568,107.37
  5. Step 5: Solve for x
    x = 543,568,107.37/32,285.42
  6. Step 6: Final answer
    x = 16,836.34

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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.