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Finding the Fourth Proportional to 30,933.44, 46,402.68 and 8,747

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Solution

The fourth proportional to 30,933.44, 46,402.68 and 8,747 is: 13,121.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,933.44 : 46,402.68 = 8,747 : x
  2. Step 2: Convert to fraction form
    30,933.44/46,402.68 = 8,747/x
  3. Step 3: Cross multiply
    30,933.44x = 46,402.68 × 8,747
  4. Step 4: Simplify right side
    30,933.44x = 405,884,241.96
  5. Step 5: Solve for x
    x = 405,884,241.96/30,933.44
  6. Step 6: Final answer
    x = 13,121.21

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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.