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Finding the Fourth Proportional to 103,286.64, 154,937.01 and 33,161.70

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Solution

The fourth proportional to 103,286.64, 154,937.01 and 33,161.70 is: 49,744.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,286.64 : 154,937.01 = 33,161.70 : x
  2. Step 2: Convert to fraction form
    103,286.64/154,937.01 = 33,161.70/x
  3. Step 3: Cross multiply
    103,286.64x = 154,937.01 × 33,161.70
  4. Step 4: Simplify right side
    103,286.64x = 5,137,974,644.52
  5. Step 5: Solve for x
    x = 5,137,974,644.52/103,286.64
  6. Step 6: Final answer
    x = 49,744.81

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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.