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Finding the Fourth Proportional to 30,793.87, 46,186.81 and 9,736.03

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Solution

The fourth proportional to 30,793.87, 46,186.81 and 9,736.03 is: 14,602.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,793.87 : 46,186.81 = 9,736.03 : x
  2. Step 2: Convert to fraction form
    30,793.87/46,186.81 = 9,736.03/x
  3. Step 3: Cross multiply
    30,793.87x = 46,186.81 × 9,736.03
  4. Step 4: Simplify right side
    30,793.87x = 449,675,936.83
  5. Step 5: Solve for x
    x = 449,675,936.83/30,793.87
  6. Step 6: Final answer
    x = 14,602.78

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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.