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Finding the Fourth Proportional to 33,435.50, 50,125.28 and 13,728.20

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Solution

The fourth proportional to 33,435.50, 50,125.28 and 13,728.20 is: 20,580.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,435.50 : 50,125.28 = 13,728.20 : x
  2. Step 2: Convert to fraction form
    33,435.50/50,125.28 = 13,728.20/x
  3. Step 3: Cross multiply
    33,435.50x = 50,125.28 × 13,728.20
  4. Step 4: Simplify right side
    33,435.50x = 688,129,868.90
  5. Step 5: Solve for x
    x = 688,129,868.90/33,435.50
  6. Step 6: Final answer
    x = 20,580.82

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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.