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Finding the Fourth Proportional to 30,672.56, 45,976.03 and 14,007.62

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Solution

The fourth proportional to 30,672.56, 45,976.03 and 14,007.62 is: 20,996.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,672.56 : 45,976.03 = 14,007.62 : x
  2. Step 2: Convert to fraction form
    30,672.56/45,976.03 = 14,007.62/x
  3. Step 3: Cross multiply
    30,672.56x = 45,976.03 × 14,007.62
  4. Step 4: Simplify right side
    30,672.56x = 644,014,618.05
  5. Step 5: Solve for x
    x = 644,014,618.05/30,672.56
  6. Step 6: Final answer
    x = 20,996.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.