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Finding the Fourth Proportional to 30,211.92, 41,689.44 and 17,644

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Solution

The fourth proportional to 30,211.92, 41,689.44 and 17,644 is: 24,346.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,211.92 : 41,689.44 = 17,644 : x
  2. Step 2: Convert to fraction form
    30,211.92/41,689.44 = 17,644/x
  3. Step 3: Cross multiply
    30,211.92x = 41,689.44 × 17,644
  4. Step 4: Simplify right side
    30,211.92x = 735,568,479.36
  5. Step 5: Solve for x
    x = 735,568,479.36/30,211.92
  6. Step 6: Final answer
    x = 24,346.96

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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.