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Finding the Fourth Proportional to 30,990.50, 46,493.04 and 10,214

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Solution

The fourth proportional to 30,990.50, 46,493.04 and 10,214 is: 15,323.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,990.50 : 46,493.04 = 10,214 : x
  2. Step 2: Convert to fraction form
    30,990.50/46,493.04 = 10,214/x
  3. Step 3: Cross multiply
    30,990.50x = 46,493.04 × 10,214
  4. Step 4: Simplify right side
    30,990.50x = 474,879,910.56
  5. Step 5: Solve for x
    x = 474,879,910.56/30,990.50
  6. Step 6: Final answer
    x = 15,323.40

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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.