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Finding the Fourth Proportional to 33,711.52, 50,578.80 and 17,284

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Solution

The fourth proportional to 33,711.52, 50,578.80 and 17,284 is: 25,931.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,711.52 : 50,578.80 = 17,284 : x
  2. Step 2: Convert to fraction form
    33,711.52/50,578.80 = 17,284/x
  3. Step 3: Cross multiply
    33,711.52x = 50,578.80 × 17,284
  4. Step 4: Simplify right side
    33,711.52x = 874,203,979.20
  5. Step 5: Solve for x
    x = 874,203,979.20/33,711.52
  6. Step 6: Final answer
    x = 25,931.91

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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.