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Finding the Fourth Proportional to 29,824, 41,157.20 and 16,576

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Solution

The fourth proportional to 29,824, 41,157.20 and 16,576 is: 22,874.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,824 : 41,157.20 = 16,576 : x
  2. Step 2: Convert to fraction form
    29,824/41,157.20 = 16,576/x
  3. Step 3: Cross multiply
    29,824x = 41,157.20 × 16,576
  4. Step 4: Simplify right side
    29,824x = 682,221,747.20
  5. Step 5: Solve for x
    x = 682,221,747.20/29,824
  6. Step 6: Final answer
    x = 22,874.92

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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.