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Finding the Fourth Proportional to 29,441, 40,629.22 and 16,193

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Solution

The fourth proportional to 29,441, 40,629.22 and 16,193 is: 22,346.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,441 : 40,629.22 = 16,193 : x
  2. Step 2: Convert to fraction form
    29,441/40,629.22 = 16,193/x
  3. Step 3: Cross multiply
    29,441x = 40,629.22 × 16,193
  4. Step 4: Simplify right side
    29,441x = 657,908,959.46
  5. Step 5: Solve for x
    x = 657,908,959.46/29,441
  6. Step 6: Final answer
    x = 22,346.69

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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.