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Finding the Fourth Proportional to 33,234.30, 49,834.35 and 9,857.70

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Solution

The fourth proportional to 33,234.30, 49,834.35 and 9,857.70 is: 14,781.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,234.30 : 49,834.35 = 9,857.70 : x
  2. Step 2: Convert to fraction form
    33,234.30/49,834.35 = 9,857.70/x
  3. Step 3: Cross multiply
    33,234.30x = 49,834.35 × 9,857.70
  4. Step 4: Simplify right side
    33,234.30x = 491,252,072.00
  5. Step 5: Solve for x
    x = 491,252,072.00/33,234.30
  6. Step 6: Final answer
    x = 14,781.48

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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.