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Finding the Fourth Proportional to 33,070, 49,605 and 8,446

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Solution

The fourth proportional to 33,070, 49,605 and 8,446 is: 12,669

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,070 : 49,605 = 8,446 : x
  2. Step 2: Convert to fraction form
    33,070/49,605 = 8,446/x
  3. Step 3: Cross multiply
    33,070x = 49,605 × 8,446
  4. Step 4: Simplify right side
    33,070x = 418,963,830
  5. Step 5: Solve for x
    x = 418,963,830/33,070
  6. Step 6: Final answer
    x = 12,669

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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.