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Finding the Fourth Proportional to 33,169.50, 49,776.12 and 12,393

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Solution

The fourth proportional to 33,169.50, 49,776.12 and 12,393 is: 18,597.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,169.50 : 49,776.12 = 12,393 : x
  2. Step 2: Convert to fraction form
    33,169.50/49,776.12 = 12,393/x
  3. Step 3: Cross multiply
    33,169.50x = 49,776.12 × 12,393
  4. Step 4: Simplify right side
    33,169.50x = 616,875,455.16
  5. Step 5: Solve for x
    x = 616,875,455.16/33,169.50
  6. Step 6: Final answer
    x = 18,597.67

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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.