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Finding the Fourth Proportional to 27,436.80, 37,836.80 and 19,932.80

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Solution

The fourth proportional to 27,436.80, 37,836.80 and 19,932.80 is: 27,488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,436.80 : 37,836.80 = 19,932.80 : x
  2. Step 2: Convert to fraction form
    27,436.80/37,836.80 = 19,932.80/x
  3. Step 3: Cross multiply
    27,436.80x = 37,836.80 × 19,932.80
  4. Step 4: Simplify right side
    27,436.80x = 754,193,367.04
  5. Step 5: Solve for x
    x = 754,193,367.04/27,436.80
  6. Step 6: Final answer
    x = 27,488.39

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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.