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Finding the Fourth Proportional to 33,448, 50,179.68 and 11,560

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Solution

The fourth proportional to 33,448, 50,179.68 and 11,560 is: 17,342.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,448 : 50,179.68 = 11,560 : x
  2. Step 2: Convert to fraction form
    33,448/50,179.68 = 11,560/x
  3. Step 3: Cross multiply
    33,448x = 50,179.68 × 11,560
  4. Step 4: Simplify right side
    33,448x = 580,077,100.80
  5. Step 5: Solve for x
    x = 580,077,100.80/33,448
  6. Step 6: Final answer
    x = 17,342.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.