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Finding the Fourth Proportional to 33,615.50, 50,423.24 and 9,923.36

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Solution

The fourth proportional to 33,615.50, 50,423.24 and 9,923.36 is: 14,885.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,615.50 : 50,423.24 = 9,923.36 : x
  2. Step 2: Convert to fraction form
    33,615.50/50,423.24 = 9,923.36/x
  3. Step 3: Cross multiply
    33,615.50x = 50,423.24 × 9,923.36
  4. Step 4: Simplify right side
    33,615.50x = 500,367,661.15
  5. Step 5: Solve for x
    x = 500,367,661.15/33,615.50
  6. Step 6: Final answer
    x = 14,885.03

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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.