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Finding the Fourth Proportional to 82,296, 123,444 and 33,048

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Solution

The fourth proportional to 82,296, 123,444 and 33,048 is: 49,572

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,296 : 123,444 = 33,048 : x
  2. Step 2: Convert to fraction form
    82,296/123,444 = 33,048/x
  3. Step 3: Cross multiply
    82,296x = 123,444 × 33,048
  4. Step 4: Simplify right side
    82,296x = 4,079,577,312
  5. Step 5: Solve for x
    x = 4,079,577,312/82,296
  6. Step 6: Final answer
    x = 49,572

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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.