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Finding the Fourth Proportional to 33,823.70, 46,678.38 and 20,399.30

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Solution

The fourth proportional to 33,823.70, 46,678.38 and 20,399.30 is: 28,152.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,823.70 : 46,678.38 = 20,399.30 : x
  2. Step 2: Convert to fraction form
    33,823.70/46,678.38 = 20,399.30/x
  3. Step 3: Cross multiply
    33,823.70x = 46,678.38 × 20,399.30
  4. Step 4: Simplify right side
    33,823.70x = 952,206,277.13
  5. Step 5: Solve for x
    x = 952,206,277.13/33,823.70
  6. Step 6: Final answer
    x = 28,152.04

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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.