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Finding the Fourth Proportional to 36,546.86, 50,410.89 and 25,807.34

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Solution

The fourth proportional to 36,546.86, 50,410.89 and 25,807.34 is: 35,597.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,546.86 : 50,410.89 = 25,807.34 : x
  2. Step 2: Convert to fraction form
    36,546.86/50,410.89 = 25,807.34/x
  3. Step 3: Cross multiply
    36,546.86x = 50,410.89 × 25,807.34
  4. Step 4: Simplify right side
    36,546.86x = 1,300,971,103.96
  5. Step 5: Solve for x
    x = 1,300,971,103.96/36,546.86
  6. Step 6: Final answer
    x = 35,597.34

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