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Finding the Fourth Proportional to 33,133.38, 45,724.06 and 18,229.38

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Solution

The fourth proportional to 33,133.38, 45,724.06 and 18,229.38 is: 25,156.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,133.38 : 45,724.06 = 18,229.38 : x
  2. Step 2: Convert to fraction form
    33,133.38/45,724.06 = 18,229.38/x
  3. Step 3: Cross multiply
    33,133.38x = 45,724.06 × 18,229.38
  4. Step 4: Simplify right side
    33,133.38x = 833,521,264.88
  5. Step 5: Solve for x
    x = 833,521,264.88/33,133.38
  6. Step 6: Final answer
    x = 25,156.54

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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.