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Finding the Fourth Proportional to 33,011.44, 49,531.76 and 13,328.44

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Solution

The fourth proportional to 33,011.44, 49,531.76 and 13,328.44 is: 19,998.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,011.44 : 49,531.76 = 13,328.44 : x
  2. Step 2: Convert to fraction form
    33,011.44/49,531.76 = 13,328.44/x
  3. Step 3: Cross multiply
    33,011.44x = 49,531.76 × 13,328.44
  4. Step 4: Simplify right side
    33,011.44x = 660,181,091.25
  5. Step 5: Solve for x
    x = 660,181,091.25/33,011.44
  6. Step 6: Final answer
    x = 19,998.55

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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.