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Finding the Fourth Proportional to 34,713, 52,072.02 and 13,936.50

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Solution

The fourth proportional to 34,713, 52,072.02 and 13,936.50 is: 20,905.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,713 : 52,072.02 = 13,936.50 : x
  2. Step 2: Convert to fraction form
    34,713/52,072.02 = 13,936.50/x
  3. Step 3: Cross multiply
    34,713x = 52,072.02 × 13,936.50
  4. Step 4: Simplify right side
    34,713x = 725,701,706.73
  5. Step 5: Solve for x
    x = 725,701,706.73/34,713
  6. Step 6: Final answer
    x = 20,905.76

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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.