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Finding the Fourth Proportional to 33,306, 49,959 and 8,682

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Solution

The fourth proportional to 33,306, 49,959 and 8,682 is: 13,023

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,306 : 49,959 = 8,682 : x
  2. Step 2: Convert to fraction form
    33,306/49,959 = 8,682/x
  3. Step 3: Cross multiply
    33,306x = 49,959 × 8,682
  4. Step 4: Simplify right side
    33,306x = 433,744,038
  5. Step 5: Solve for x
    x = 433,744,038/33,306
  6. Step 6: Final answer
    x = 13,023

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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.