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Finding the Fourth Proportional to 53,450.96, 73,770.11 and 30,785.54

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Solution

The fourth proportional to 53,450.96, 73,770.11 and 30,785.54 is: 42,488.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,450.96 : 73,770.11 = 30,785.54 : x
  2. Step 2: Convert to fraction form
    53,450.96/73,770.11 = 30,785.54/x
  3. Step 3: Cross multiply
    53,450.96x = 73,770.11 × 30,785.54
  4. Step 4: Simplify right side
    53,450.96x = 2,271,052,149.43
  5. Step 5: Solve for x
    x = 2,271,052,149.43/53,450.96
  6. Step 6: Final answer
    x = 42,488.52

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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.