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Finding the Fourth Proportional to 32,029.44, 44,231.04 and 30,284.16

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Solution

The fourth proportional to 32,029.44, 44,231.04 and 30,284.16 is: 41,820.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,029.44 : 44,231.04 = 30,284.16 : x
  2. Step 2: Convert to fraction form
    32,029.44/44,231.04 = 30,284.16/x
  3. Step 3: Cross multiply
    32,029.44x = 44,231.04 × 30,284.16
  4. Step 4: Simplify right side
    32,029.44x = 1,339,499,892.33
  5. Step 5: Solve for x
    x = 1,339,499,892.33/32,029.44
  6. Step 6: Final answer
    x = 41,820.90

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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.