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Finding the Fourth Proportional to 32,606, 44,996.28 and 17,702

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Solution

The fourth proportional to 32,606, 44,996.28 and 17,702 is: 24,428.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,606 : 44,996.28 = 17,702 : x
  2. Step 2: Convert to fraction form
    32,606/44,996.28 = 17,702/x
  3. Step 3: Cross multiply
    32,606x = 44,996.28 × 17,702
  4. Step 4: Simplify right side
    32,606x = 796,524,148.56
  5. Step 5: Solve for x
    x = 796,524,148.56/32,606
  6. Step 6: Final answer
    x = 24,428.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.