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Finding the Fourth Proportional to 33,158, 49,750.92 and 13,450.64

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Solution

The fourth proportional to 33,158, 49,750.92 and 13,450.64 is: 20,181.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,158 : 49,750.92 = 13,450.64 : x
  2. Step 2: Convert to fraction form
    33,158/49,750.92 = 13,450.64/x
  3. Step 3: Cross multiply
    33,158x = 49,750.92 × 13,450.64
  4. Step 4: Simplify right side
    33,158x = 669,181,714.59
  5. Step 5: Solve for x
    x = 669,181,714.59/33,158
  6. Step 6: Final answer
    x = 20,181.61

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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.