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Finding the Fourth Proportional to 33,008.58, 49,512.78 and 8,048.34

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Solution

The fourth proportional to 33,008.58, 49,512.78 and 8,048.34 is: 12,072.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,008.58 : 49,512.78 = 8,048.34 : x
  2. Step 2: Convert to fraction form
    33,008.58/49,512.78 = 8,048.34/x
  3. Step 3: Cross multiply
    33,008.58x = 49,512.78 × 8,048.34
  4. Step 4: Simplify right side
    33,008.58x = 398,495,687.79
  5. Step 5: Solve for x
    x = 398,495,687.79/33,008.58
  6. Step 6: Final answer
    x = 12,072.49

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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.