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Finding the Fourth Proportional to 29,456, 40,649.28 and 16,208

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Solution

The fourth proportional to 29,456, 40,649.28 and 16,208 is: 22,367.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,456 : 40,649.28 = 16,208 : x
  2. Step 2: Convert to fraction form
    29,456/40,649.28 = 16,208/x
  3. Step 3: Cross multiply
    29,456x = 40,649.28 × 16,208
  4. Step 4: Simplify right side
    29,456x = 658,843,530.24
  5. Step 5: Solve for x
    x = 658,843,530.24/29,456
  6. Step 6: Final answer
    x = 22,367.04

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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.