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Finding the Fourth Proportional to 73,878.94, 110,828 and 33,888.28

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Solution

The fourth proportional to 73,878.94, 110,828 and 33,888.28 is: 50,836.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,878.94 : 110,828 = 33,888.28 : x
  2. Step 2: Convert to fraction form
    73,878.94/110,828 = 33,888.28/x
  3. Step 3: Cross multiply
    73,878.94x = 110,828 × 33,888.28
  4. Step 4: Simplify right side
    73,878.94x = 3,755,770,295.84
  5. Step 5: Solve for x
    x = 3,755,770,295.84/73,878.94
  6. Step 6: Final answer
    x = 50,836.82

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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.