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Finding the Fourth Proportional to 33,057.50, 49,586.25 and 31,396.46

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Solution

The fourth proportional to 33,057.50, 49,586.25 and 31,396.46 is: 47,094.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,057.50 : 49,586.25 = 31,396.46 : x
  2. Step 2: Convert to fraction form
    33,057.50/49,586.25 = 31,396.46/x
  3. Step 3: Cross multiply
    33,057.50x = 49,586.25 × 31,396.46
  4. Step 4: Simplify right side
    33,057.50x = 1,556,832,714.68
  5. Step 5: Solve for x
    x = 1,556,832,714.68/33,057.50
  6. Step 6: Final answer
    x = 47,094.69

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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.