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Finding the Fourth Proportional to 21,631, 32,446.50 and 6,049.30

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Solution

The fourth proportional to 21,631, 32,446.50 and 6,049.30 is: 9,073.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,631 : 32,446.50 = 6,049.30 : x
  2. Step 2: Convert to fraction form
    21,631/32,446.50 = 6,049.30/x
  3. Step 3: Cross multiply
    21,631x = 32,446.50 × 6,049.30
  4. Step 4: Simplify right side
    21,631x = 196,278,612.45
  5. Step 5: Solve for x
    x = 196,278,612.45/21,631
  6. Step 6: Final answer
    x = 9,073.95

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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.