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Finding the Fourth Proportional to 83,768.98, 125,653.22 and 33,848.50

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Solution

The fourth proportional to 83,768.98, 125,653.22 and 33,848.50 is: 50,772.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,768.98 : 125,653.22 = 33,848.50 : x
  2. Step 2: Convert to fraction form
    83,768.98/125,653.22 = 33,848.50/x
  3. Step 3: Cross multiply
    83,768.98x = 125,653.22 × 33,848.50
  4. Step 4: Simplify right side
    83,768.98x = 4,253,172,847.93
  5. Step 5: Solve for x
    x = 4,253,172,847.93/83,768.98
  6. Step 6: Final answer
    x = 50,772.65

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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.