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Finding the Fourth Proportional to 103,905.84, 155,824.08 and 33,768

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Solution

The fourth proportional to 103,905.84, 155,824.08 and 33,768 is: 50,640.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,905.84 : 155,824.08 = 33,768 : x
  2. Step 2: Convert to fraction form
    103,905.84/155,824.08 = 33,768/x
  3. Step 3: Cross multiply
    103,905.84x = 155,824.08 × 33,768
  4. Step 4: Simplify right side
    103,905.84x = 5,261,867,533.44
  5. Step 5: Solve for x
    x = 5,261,867,533.44/103,905.84
  6. Step 6: Final answer
    x = 50,640.73

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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.