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Finding the Fourth Proportional to 30,906.70, 46,363.67 and 9,839.36

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Solution

The fourth proportional to 30,906.70, 46,363.67 and 9,839.36 is: 14,760.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,906.70 : 46,363.67 = 9,839.36 : x
  2. Step 2: Convert to fraction form
    30,906.70/46,363.67 = 9,839.36/x
  3. Step 3: Cross multiply
    30,906.70x = 46,363.67 × 9,839.36
  4. Step 4: Simplify right side
    30,906.70x = 456,188,840.05
  5. Step 5: Solve for x
    x = 456,188,840.05/30,906.70
  6. Step 6: Final answer
    x = 14,760.19

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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.