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Finding the Fourth Proportional to 83,837.99, 125,769.44 and 27,684

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Solution

The fourth proportional to 83,837.99, 125,769.44 and 27,684 is: 41,530.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,837.99 : 125,769.44 = 27,684 : x
  2. Step 2: Convert to fraction form
    83,837.99/125,769.44 = 27,684/x
  3. Step 3: Cross multiply
    83,837.99x = 125,769.44 × 27,684
  4. Step 4: Simplify right side
    83,837.99x = 3,481,801,246.17
  5. Step 5: Solve for x
    x = 3,481,801,246.17/83,837.99
  6. Step 6: Final answer
    x = 41,530.11

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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.