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Finding the Fourth Proportional to 30,914.76, 46,380.24 and 13,380.48

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Solution

The fourth proportional to 30,914.76, 46,380.24 and 13,380.48 is: 20,074.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,914.76 : 46,380.24 = 13,380.48 : x
  2. Step 2: Convert to fraction form
    30,914.76/46,380.24 = 13,380.48/x
  3. Step 3: Cross multiply
    30,914.76x = 46,380.24 × 13,380.48
  4. Step 4: Simplify right side
    30,914.76x = 620,589,873.72
  5. Step 5: Solve for x
    x = 620,589,873.72/30,914.76
  6. Step 6: Final answer
    x = 20,074.23

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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.