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Finding the Fourth Proportional to 33,676, 46,472.88 and 18,772

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Solution

The fourth proportional to 33,676, 46,472.88 and 18,772 is: 25,905.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,676 : 46,472.88 = 18,772 : x
  2. Step 2: Convert to fraction form
    33,676/46,472.88 = 18,772/x
  3. Step 3: Cross multiply
    33,676x = 46,472.88 × 18,772
  4. Step 4: Simplify right side
    33,676x = 872,388,903.36
  5. Step 5: Solve for x
    x = 872,388,903.36/33,676
  6. Step 6: Final answer
    x = 25,905.36

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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.