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Finding the Fourth Proportional to 33,472.46, 50,213.39 and 9,781.74

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Solution

The fourth proportional to 33,472.46, 50,213.39 and 9,781.74 is: 14,673.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,472.46 : 50,213.39 = 9,781.74 : x
  2. Step 2: Convert to fraction form
    33,472.46/50,213.39 = 9,781.74/x
  3. Step 3: Cross multiply
    33,472.46x = 50,213.39 × 9,781.74
  4. Step 4: Simplify right side
    33,472.46x = 491,174,276.59
  5. Step 5: Solve for x
    x = 491,174,276.59/33,472.46
  6. Step 6: Final answer
    x = 14,673.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.