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Finding the Fourth Proportional to 33,106.54, 49,649.24 and 10,915.78

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Solution

The fourth proportional to 33,106.54, 49,649.24 and 10,915.78 is: 16,370.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,106.54 : 49,649.24 = 10,915.78 : x
  2. Step 2: Convert to fraction form
    33,106.54/49,649.24 = 10,915.78/x
  3. Step 3: Cross multiply
    33,106.54x = 49,649.24 × 10,915.78
  4. Step 4: Simplify right side
    33,106.54x = 541,960,181.01
  5. Step 5: Solve for x
    x = 541,960,181.01/33,106.54
  6. Step 6: Final answer
    x = 16,370.18

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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.