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Finding the Fourth Proportional to 33,735.36, 46,511.46 and 27,663.30

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Solution

The fourth proportional to 33,735.36, 46,511.46 and 27,663.30 is: 38,139.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,735.36 : 46,511.46 = 27,663.30 : x
  2. Step 2: Convert to fraction form
    33,735.36/46,511.46 = 27,663.30/x
  3. Step 3: Cross multiply
    33,735.36x = 46,511.46 × 27,663.30
  4. Step 4: Simplify right side
    33,735.36x = 1,286,660,471.42
  5. Step 5: Solve for x
    x = 1,286,660,471.42/33,735.36
  6. Step 6: Final answer
    x = 38,139.82

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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.