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Finding the Fourth Proportional to 33,326.72, 46,000 and 20,744

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Solution

The fourth proportional to 33,326.72, 46,000 and 20,744 is: 28,632.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,326.72 : 46,000 = 20,744 : x
  2. Step 2: Convert to fraction form
    33,326.72/46,000 = 20,744/x
  3. Step 3: Cross multiply
    33,326.72x = 46,000 × 20,744
  4. Step 4: Simplify right side
    33,326.72x = 954,224,000
  5. Step 5: Solve for x
    x = 954,224,000/33,326.72
  6. Step 6: Final answer
    x = 28,632.40

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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.