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Finding the Fourth Proportional to 33,324.92, 46,022.82 and 28,827.08

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Solution

The fourth proportional to 33,324.92, 46,022.82 and 28,827.08 is: 39,811.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,324.92 : 46,022.82 = 28,827.08 : x
  2. Step 2: Convert to fraction form
    33,324.92/46,022.82 = 28,827.08/x
  3. Step 3: Cross multiply
    33,324.92x = 46,022.82 × 28,827.08
  4. Step 4: Simplify right side
    33,324.92x = 1,326,703,513.97
  5. Step 5: Solve for x
    x = 1,326,703,513.97/33,324.92
  6. Step 6: Final answer
    x = 39,811.15

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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.