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Finding the Fourth Proportional to 33,661.70, 50,502.39 and 9,969.86

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Solution

The fourth proportional to 33,661.70, 50,502.39 and 9,969.86 is: 14,957.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,661.70 : 50,502.39 = 9,969.86 : x
  2. Step 2: Convert to fraction form
    33,661.70/50,502.39 = 9,969.86/x
  3. Step 3: Cross multiply
    33,661.70x = 50,502.39 × 9,969.86
  4. Step 4: Simplify right side
    33,661.70x = 503,501,757.97
  5. Step 5: Solve for x
    x = 503,501,757.97/33,661.70
  6. Step 6: Final answer
    x = 14,957.70

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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.