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Finding the Fourth Proportional to 71,896.80, 107,857.08 and 32,453.04

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Solution

The fourth proportional to 71,896.80, 107,857.08 and 32,453.04 is: 48,684.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,896.80 : 107,857.08 = 32,453.04 : x
  2. Step 2: Convert to fraction form
    71,896.80/107,857.08 = 32,453.04/x
  3. Step 3: Cross multiply
    71,896.80x = 107,857.08 × 32,453.04
  4. Step 4: Simplify right side
    71,896.80x = 3,500,290,131.52
  5. Step 5: Solve for x
    x = 3,500,290,131.52/71,896.80
  6. Step 6: Final answer
    x = 48,684.92

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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.