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Finding the Fourth Proportional to 43,896.48, 65,846.84 and 14,314.28

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Solution

The fourth proportional to 43,896.48, 65,846.84 and 14,314.28 is: 21,472.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,896.48 : 65,846.84 = 14,314.28 : x
  2. Step 2: Convert to fraction form
    43,896.48/65,846.84 = 14,314.28/x
  3. Step 3: Cross multiply
    43,896.48x = 65,846.84 × 14,314.28
  4. Step 4: Simplify right side
    43,896.48x = 942,550,104.88
  5. Step 5: Solve for x
    x = 942,550,104.88/43,896.48
  6. Step 6: Final answer
    x = 21,472.11

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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.