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Finding the Fourth Proportional to 29,514.06, 44,254.86 and 20,164.64

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Solution

The fourth proportional to 29,514.06, 44,254.86 and 20,164.64 is: 30,235.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,514.06 : 44,254.86 = 20,164.64 : x
  2. Step 2: Convert to fraction form
    29,514.06/44,254.86 = 20,164.64/x
  3. Step 3: Cross multiply
    29,514.06x = 44,254.86 × 20,164.64
  4. Step 4: Simplify right side
    29,514.06x = 892,383,320.15
  5. Step 5: Solve for x
    x = 892,383,320.15/29,514.06
  6. Step 6: Final answer
    x = 30,235.87

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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.