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Finding the Fourth Proportional to 92,198.94, 138,235.23 and 33,033.30

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Solution

The fourth proportional to 92,198.94, 138,235.23 and 33,033.30 is: 49,527.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,198.94 : 138,235.23 = 33,033.30 : x
  2. Step 2: Convert to fraction form
    92,198.94/138,235.23 = 33,033.30/x
  3. Step 3: Cross multiply
    92,198.94x = 138,235.23 × 33,033.30
  4. Step 4: Simplify right side
    92,198.94x = 4,566,365,823.16
  5. Step 5: Solve for x
    x = 4,566,365,823.16/92,198.94
  6. Step 6: Final answer
    x = 49,527.31

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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.