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Finding the Fourth Proportional to 34,728, 52,094.46 and 13,951.50

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Solution

The fourth proportional to 34,728, 52,094.46 and 13,951.50 is: 20,928.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,728 : 52,094.46 = 13,951.50 : x
  2. Step 2: Convert to fraction form
    34,728/52,094.46 = 13,951.50/x
  3. Step 3: Cross multiply
    34,728x = 52,094.46 × 13,951.50
  4. Step 4: Simplify right side
    34,728x = 726,795,858.69
  5. Step 5: Solve for x
    x = 726,795,858.69/34,728
  6. Step 6: Final answer
    x = 20,928.24

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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.