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Finding the Fourth Proportional to 41,521.92, 62,305.92 and 16,896

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Solution

The fourth proportional to 41,521.92, 62,305.92 and 16,896 is: 25,353.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,521.92 : 62,305.92 = 16,896 : x
  2. Step 2: Convert to fraction form
    41,521.92/62,305.92 = 16,896/x
  3. Step 3: Cross multiply
    41,521.92x = 62,305.92 × 16,896
  4. Step 4: Simplify right side
    41,521.92x = 1,052,720,824.32
  5. Step 5: Solve for x
    x = 1,052,720,824.32/41,521.92
  6. Step 6: Final answer
    x = 25,353.38

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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.