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Finding the Fourth Proportional to 33,157.96, 45,744.75 and 19,724.31

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Solution

The fourth proportional to 33,157.96, 45,744.75 and 19,724.31 is: 27,211.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,157.96 : 45,744.75 = 19,724.31 : x
  2. Step 2: Convert to fraction form
    33,157.96/45,744.75 = 19,724.31/x
  3. Step 3: Cross multiply
    33,157.96x = 45,744.75 × 19,724.31
  4. Step 4: Simplify right side
    33,157.96x = 902,283,629.87
  5. Step 5: Solve for x
    x = 902,283,629.87/33,157.96
  6. Step 6: Final answer
    x = 27,211.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.