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Finding the Fourth Proportional to 69,834, 104,753.34 and 27,721.92

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Solution

The fourth proportional to 69,834, 104,753.34 and 27,721.92 is: 41,583.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,834 : 104,753.34 = 27,721.92 : x
  2. Step 2: Convert to fraction form
    69,834/104,753.34 = 27,721.92/x
  3. Step 3: Cross multiply
    69,834x = 104,753.34 × 27,721.92
  4. Step 4: Simplify right side
    69,834x = 2,903,963,711.21
  5. Step 5: Solve for x
    x = 2,903,963,711.21/69,834
  6. Step 6: Final answer
    x = 41,583.81

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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.