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Finding the Fourth Proportional to 30,981.70, 46,474.32 and 8,793.32

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Solution

The fourth proportional to 30,981.70, 46,474.32 and 8,793.32 is: 13,190.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,981.70 : 46,474.32 = 8,793.32 : x
  2. Step 2: Convert to fraction form
    30,981.70/46,474.32 = 8,793.32/x
  3. Step 3: Cross multiply
    30,981.70x = 46,474.32 × 8,793.32
  4. Step 4: Simplify right side
    30,981.70x = 408,663,567.54
  5. Step 5: Solve for x
    x = 408,663,567.54/30,981.70
  6. Step 6: Final answer
    x = 13,190.48

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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.