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Finding the Fourth Proportional to 33,197, 45,811.86 and 18,293

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Solution

The fourth proportional to 33,197, 45,811.86 and 18,293 is: 25,244.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,197 : 45,811.86 = 18,293 : x
  2. Step 2: Convert to fraction form
    33,197/45,811.86 = 18,293/x
  3. Step 3: Cross multiply
    33,197x = 45,811.86 × 18,293
  4. Step 4: Simplify right side
    33,197x = 838,036,354.98
  5. Step 5: Solve for x
    x = 838,036,354.98/33,197
  6. Step 6: Final answer
    x = 25,244.34

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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.