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Finding the Fourth Proportional to 27,054.36, 40,596.12 and 20,478.96

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Solution

The fourth proportional to 27,054.36, 40,596.12 and 20,478.96 is: 30,729.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,054.36 : 40,596.12 = 20,478.96 : x
  2. Step 2: Convert to fraction form
    27,054.36/40,596.12 = 20,478.96/x
  3. Step 3: Cross multiply
    27,054.36x = 40,596.12 × 20,478.96
  4. Step 4: Simplify right side
    27,054.36x = 831,366,317.64
  5. Step 5: Solve for x
    x = 831,366,317.64/27,054.36
  6. Step 6: Final answer
    x = 30,729.48

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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.