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Finding the Fourth Proportional to 33,713.52, 46,503 and 20,465.52

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Solution

The fourth proportional to 33,713.52, 46,503 and 20,465.52 is: 28,229.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,713.52 : 46,503 = 20,465.52 : x
  2. Step 2: Convert to fraction form
    33,713.52/46,503 = 20,465.52/x
  3. Step 3: Cross multiply
    33,713.52x = 46,503 × 20,465.52
  4. Step 4: Simplify right side
    33,713.52x = 951,708,076.56
  5. Step 5: Solve for x
    x = 951,708,076.56/33,713.52
  6. Step 6: Final answer
    x = 28,229.27

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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.