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Finding the Fourth Proportional to 33,971.32, 50,918.10 and 13,177

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Solution

The fourth proportional to 33,971.32, 50,918.10 and 13,177 is: 19,750.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,971.32 : 50,918.10 = 13,177 : x
  2. Step 2: Convert to fraction form
    33,971.32/50,918.10 = 13,177/x
  3. Step 3: Cross multiply
    33,971.32x = 50,918.10 × 13,177
  4. Step 4: Simplify right side
    33,971.32x = 670,947,803.70
  5. Step 5: Solve for x
    x = 670,947,803.70/33,971.32
  6. Step 6: Final answer
    x = 19,750.42

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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.