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Finding the Fourth Proportional to 33,302, 49,953 and 8,678

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Solution

The fourth proportional to 33,302, 49,953 and 8,678 is: 13,017

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,302 : 49,953 = 8,678 : x
  2. Step 2: Convert to fraction form
    33,302/49,953 = 8,678/x
  3. Step 3: Cross multiply
    33,302x = 49,953 × 8,678
  4. Step 4: Simplify right side
    33,302x = 433,492,134
  5. Step 5: Solve for x
    x = 433,492,134/33,302
  6. Step 6: Final answer
    x = 13,017

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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.