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Finding the Fourth Proportional to 51,896.86, 71,590.38 and 32,769.73

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Solution

The fourth proportional to 51,896.86, 71,590.38 and 32,769.73 is: 45,205.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,896.86 : 71,590.38 = 32,769.73 : x
  2. Step 2: Convert to fraction form
    51,896.86/71,590.38 = 32,769.73/x
  3. Step 3: Cross multiply
    51,896.86x = 71,590.38 × 32,769.73
  4. Step 4: Simplify right side
    51,896.86x = 2,345,997,423.20
  5. Step 5: Solve for x
    x = 2,345,997,423.20/51,896.86
  6. Step 6: Final answer
    x = 45,205.00

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