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Finding the Fourth Proportional to 36,509.96, 50,383.75 and 19,742.96

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Solution

The fourth proportional to 36,509.96, 50,383.75 and 19,742.96 is: 27,245.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,509.96 : 50,383.75 = 19,742.96 : x
  2. Step 2: Convert to fraction form
    36,509.96/50,383.75 = 19,742.96/x
  3. Step 3: Cross multiply
    36,509.96x = 50,383.75 × 19,742.96
  4. Step 4: Simplify right side
    36,509.96x = 994,724,360.90
  5. Step 5: Solve for x
    x = 994,724,360.90/36,509.96
  6. Step 6: Final answer
    x = 27,245.29

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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.