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Finding the Fourth Proportional to 71,843.63, 107,814.95 and 25,096.50

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Solution

The fourth proportional to 71,843.63, 107,814.95 and 25,096.50 is: 37,662.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,843.63 : 107,814.95 = 25,096.50 : x
  2. Step 2: Convert to fraction form
    71,843.63/107,814.95 = 25,096.50/x
  3. Step 3: Cross multiply
    71,843.63x = 107,814.95 × 25,096.50
  4. Step 4: Simplify right side
    71,843.63x = 2,705,777,861.30
  5. Step 5: Solve for x
    x = 2,705,777,861.30/71,843.63
  6. Step 6: Final answer
    x = 37,662.05

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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.