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Finding the Fourth Proportional to 33,171.96, 49,758 and 9,814.80

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Solution

The fourth proportional to 33,171.96, 49,758 and 9,814.80 is: 14,722.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,171.96 : 49,758 = 9,814.80 : x
  2. Step 2: Convert to fraction form
    33,171.96/49,758 = 9,814.80/x
  3. Step 3: Cross multiply
    33,171.96x = 49,758 × 9,814.80
  4. Step 4: Simplify right side
    33,171.96x = 488,364,818.40
  5. Step 5: Solve for x
    x = 488,364,818.40/33,171.96
  6. Step 6: Final answer
    x = 14,722.22

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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.