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Finding the Fourth Proportional to 36,080.58, 49,785.12 and 20,165.16

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Solution

The fourth proportional to 36,080.58, 49,785.12 and 20,165.16 is: 27,824.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,080.58 : 49,785.12 = 20,165.16 : x
  2. Step 2: Convert to fraction form
    36,080.58/49,785.12 = 20,165.16/x
  3. Step 3: Cross multiply
    36,080.58x = 49,785.12 × 20,165.16
  4. Step 4: Simplify right side
    36,080.58x = 1,003,924,910.42
  5. Step 5: Solve for x
    x = 1,003,924,910.42/36,080.58
  6. Step 6: Final answer
    x = 27,824.52

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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.