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Finding the Fourth Proportional to 57,512.54, 86,305.68 and 27,914.24

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Solution

The fourth proportional to 57,512.54, 86,305.68 and 27,914.24 is: 41,889.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,512.54 : 86,305.68 = 27,914.24 : x
  2. Step 2: Convert to fraction form
    57,512.54/86,305.68 = 27,914.24/x
  3. Step 3: Cross multiply
    57,512.54x = 86,305.68 × 27,914.24
  4. Step 4: Simplify right side
    57,512.54x = 2,409,157,464.88
  5. Step 5: Solve for x
    x = 2,409,157,464.88/57,512.54
  6. Step 6: Final answer
    x = 41,889.26

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1.5x scale

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.