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Finding the Fourth Proportional to 33,201, 49,771.49 and 12,126.17

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Solution

The fourth proportional to 33,201, 49,771.49 and 12,126.17 is: 18,178.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,201 : 49,771.49 = 12,126.17 : x
  2. Step 2: Convert to fraction form
    33,201/49,771.49 = 12,126.17/x
  3. Step 3: Cross multiply
    33,201x = 49,771.49 × 12,126.17
  4. Step 4: Simplify right side
    33,201x = 603,537,612.69
  5. Step 5: Solve for x
    x = 603,537,612.69/33,201
  6. Step 6: Final answer
    x = 18,178.30

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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.