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Finding the Fourth Proportional to 30,516.92, 45,757.74 and 9,451.34

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Solution

The fourth proportional to 30,516.92, 45,757.74 and 9,451.34 is: 14,171.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,516.92 : 45,757.74 = 9,451.34 : x
  2. Step 2: Convert to fraction form
    30,516.92/45,757.74 = 9,451.34/x
  3. Step 3: Cross multiply
    30,516.92x = 45,757.74 × 9,451.34
  4. Step 4: Simplify right side
    30,516.92x = 432,471,958.37
  5. Step 5: Solve for x
    x = 432,471,958.37/30,516.92
  6. Step 6: Final answer
    x = 14,171.55

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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.