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Finding the Fourth Proportional to 29,425, 40,606.56 and 16,177

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Solution

The fourth proportional to 29,425, 40,606.56 and 16,177 is: 22,324.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,425 : 40,606.56 = 16,177 : x
  2. Step 2: Convert to fraction form
    29,425/40,606.56 = 16,177/x
  3. Step 3: Cross multiply
    29,425x = 40,606.56 × 16,177
  4. Step 4: Simplify right side
    29,425x = 656,892,321.12
  5. Step 5: Solve for x
    x = 656,892,321.12/29,425
  6. Step 6: Final answer
    x = 22,324.29

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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.