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Finding the Fourth Proportional to 49,064.73, 67,705.47 and 27,843.99

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Solution

The fourth proportional to 49,064.73, 67,705.47 and 27,843.99 is: 38,422.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,064.73 : 67,705.47 = 27,843.99 : x
  2. Step 2: Convert to fraction form
    49,064.73/67,705.47 = 27,843.99/x
  3. Step 3: Cross multiply
    49,064.73x = 67,705.47 × 27,843.99
  4. Step 4: Simplify right side
    49,064.73x = 1,885,190,429.63
  5. Step 5: Solve for x
    x = 1,885,190,429.63/49,064.73
  6. Step 6: Final answer
    x = 38,422.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.