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Finding the Fourth Proportional to 103,375.32, 154,964.49 and 33,205.38

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Solution

The fourth proportional to 103,375.32, 154,964.49 and 33,205.38 is: 49,776.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,375.32 : 154,964.49 = 33,205.38 : x
  2. Step 2: Convert to fraction form
    103,375.32/154,964.49 = 33,205.38/x
  3. Step 3: Cross multiply
    103,375.32x = 154,964.49 × 33,205.38
  4. Step 4: Simplify right side
    103,375.32x = 5,145,654,776.96
  5. Step 5: Solve for x
    x = 5,145,654,776.96/103,375.32
  6. Step 6: Final answer
    x = 49,776.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.