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Finding the Fourth Proportional to 83,843.81, 125,739.03 and 27,673.46

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Solution

The fourth proportional to 83,843.81, 125,739.03 and 27,673.46 is: 41,501.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,843.81 : 125,739.03 = 27,673.46 : x
  2. Step 2: Convert to fraction form
    83,843.81/125,739.03 = 27,673.46/x
  3. Step 3: Cross multiply
    83,843.81x = 125,739.03 × 27,673.46
  4. Step 4: Simplify right side
    83,843.81x = 3,479,634,017.14
  5. Step 5: Solve for x
    x = 3,479,634,017.14/83,843.81
  6. Step 6: Final answer
    x = 41,501.38

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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.