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Finding the Fourth Proportional to 33,177, 45,784.28 and 18,273

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Solution

The fourth proportional to 33,177, 45,784.28 and 18,273 is: 25,216.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,177 : 45,784.28 = 18,273 : x
  2. Step 2: Convert to fraction form
    33,177/45,784.28 = 18,273/x
  3. Step 3: Cross multiply
    33,177x = 45,784.28 × 18,273
  4. Step 4: Simplify right side
    33,177x = 836,616,148.44
  5. Step 5: Solve for x
    x = 836,616,148.44/33,177
  6. Step 6: Final answer
    x = 25,216.75

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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.