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Finding the Fourth Proportional to 51,769.12, 71,418.90 and 32,896.12

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Solution

The fourth proportional to 51,769.12, 71,418.90 and 32,896.12 is: 45,382.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,769.12 : 71,418.90 = 32,896.12 : x
  2. Step 2: Convert to fraction form
    51,769.12/71,418.90 = 32,896.12/x
  3. Step 3: Cross multiply
    51,769.12x = 71,418.90 × 32,896.12
  4. Step 4: Simplify right side
    51,769.12x = 2,349,404,704.67
  5. Step 5: Solve for x
    x = 2,349,404,704.67/51,769.12
  6. Step 6: Final answer
    x = 45,382.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.