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Finding the Fourth Proportional to 37,892.40, 52,324.56 and 23,769.60

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Solution

The fourth proportional to 37,892.40, 52,324.56 and 23,769.60 is: 32,822.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,892.40 : 52,324.56 = 23,769.60 : x
  2. Step 2: Convert to fraction form
    37,892.40/52,324.56 = 23,769.60/x
  3. Step 3: Cross multiply
    37,892.40x = 52,324.56 × 23,769.60
  4. Step 4: Simplify right side
    37,892.40x = 1,243,733,861.38
  5. Step 5: Solve for x
    x = 1,243,733,861.38/37,892.40
  6. Step 6: Final answer
    x = 32,822.78

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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.