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Finding the Fourth Proportional to 53,083.56, 73,224.84 and 33,177

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Solution

The fourth proportional to 53,083.56, 73,224.84 and 33,177 is: 45,765.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,083.56 : 73,224.84 = 33,177 : x
  2. Step 2: Convert to fraction form
    53,083.56/73,224.84 = 33,177/x
  3. Step 3: Cross multiply
    53,083.56x = 73,224.84 × 33,177
  4. Step 4: Simplify right side
    53,083.56x = 2,429,380,516.68
  5. Step 5: Solve for x
    x = 2,429,380,516.68/53,083.56
  6. Step 6: Final answer
    x = 45,765.21

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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.