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Finding the Fourth Proportional to 34,928.96, 48,201.12 and 20,024

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Solution

The fourth proportional to 34,928.96, 48,201.12 and 20,024 is: 27,632.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,928.96 : 48,201.12 = 20,024 : x
  2. Step 2: Convert to fraction form
    34,928.96/48,201.12 = 20,024/x
  3. Step 3: Cross multiply
    34,928.96x = 48,201.12 × 20,024
  4. Step 4: Simplify right side
    34,928.96x = 965,179,226.88
  5. Step 5: Solve for x
    x = 965,179,226.88/34,928.96
  6. Step 6: Final answer
    x = 27,632.64

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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.