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Finding the Fourth Proportional to 36,120.54, 54,181.86 and 9,825.84

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Solution

The fourth proportional to 36,120.54, 54,181.86 and 9,825.84 is: 14,739.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,120.54 : 54,181.86 = 9,825.84 : x
  2. Step 2: Convert to fraction form
    36,120.54/54,181.86 = 9,825.84/x
  3. Step 3: Cross multiply
    36,120.54x = 54,181.86 × 9,825.84
  4. Step 4: Simplify right side
    36,120.54x = 532,382,287.26
  5. Step 5: Solve for x
    x = 532,382,287.26/36,120.54
  6. Step 6: Final answer
    x = 14,739.05

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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.