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Finding the Fourth Proportional to 33,447, 50,173.74 and 11,265.96

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Solution

The fourth proportional to 33,447, 50,173.74 and 11,265.96 is: 16,900.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,447 : 50,173.74 = 11,265.96 : x
  2. Step 2: Convert to fraction form
    33,447/50,173.74 = 11,265.96/x
  3. Step 3: Cross multiply
    33,447x = 50,173.74 × 11,265.96
  4. Step 4: Simplify right side
    33,447x = 565,255,347.89
  5. Step 5: Solve for x
    x = 565,255,347.89/33,447
  6. Step 6: Final answer
    x = 16,900.03

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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.