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Finding the Fourth Proportional to 33,827.64, 50,735.70 and 10,447.80

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Solution

The fourth proportional to 33,827.64, 50,735.70 and 10,447.80 is: 15,669.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,827.64 : 50,735.70 = 10,447.80 : x
  2. Step 2: Convert to fraction form
    33,827.64/50,735.70 = 10,447.80/x
  3. Step 3: Cross multiply
    33,827.64x = 50,735.70 × 10,447.80
  4. Step 4: Simplify right side
    33,827.64x = 530,076,446.46
  5. Step 5: Solve for x
    x = 530,076,446.46/33,827.64
  6. Step 6: Final answer
    x = 15,669.92

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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.