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Finding the Fourth Proportional to 33,206, 45,824.76 and 18,302

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Solution

The fourth proportional to 33,206, 45,824.76 and 18,302 is: 25,257.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,206 : 45,824.76 = 18,302 : x
  2. Step 2: Convert to fraction form
    33,206/45,824.76 = 18,302/x
  3. Step 3: Cross multiply
    33,206x = 45,824.76 × 18,302
  4. Step 4: Simplify right side
    33,206x = 838,684,757.52
  5. Step 5: Solve for x
    x = 838,684,757.52/33,206
  6. Step 6: Final answer
    x = 25,257.02

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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.