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Finding the Fourth Proportional to 30,914.36, 46,380.20 and 10,152.44

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Solution

The fourth proportional to 30,914.36, 46,380.20 and 10,152.44 is: 15,231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,914.36 : 46,380.20 = 10,152.44 : x
  2. Step 2: Convert to fraction form
    30,914.36/46,380.20 = 10,152.44/x
  3. Step 3: Cross multiply
    30,914.36x = 46,380.20 × 10,152.44
  4. Step 4: Simplify right side
    30,914.36x = 470,872,197.69
  5. Step 5: Solve for x
    x = 470,872,197.69/30,914.36
  6. Step 6: Final answer
    x = 15,231.50

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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.