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Finding the Fourth Proportional to 36,434, 54,615.48 and 18,664.64

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Solution

The fourth proportional to 36,434, 54,615.48 and 18,664.64 is: 27,978.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,434 : 54,615.48 = 18,664.64 : x
  2. Step 2: Convert to fraction form
    36,434/54,615.48 = 18,664.64/x
  3. Step 3: Cross multiply
    36,434x = 54,615.48 × 18,664.64
  4. Step 4: Simplify right side
    36,434x = 1,019,378,272.63
  5. Step 5: Solve for x
    x = 1,019,378,272.63/36,434
  6. Step 6: Final answer
    x = 27,978.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.