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Finding the Fourth Proportional to 40,505.46, 55,833.87 and 27,736.56

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Solution

The fourth proportional to 40,505.46, 55,833.87 and 27,736.56 is: 38,232.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,505.46 : 55,833.87 = 27,736.56 : x
  2. Step 2: Convert to fraction form
    40,505.46/55,833.87 = 27,736.56/x
  3. Step 3: Cross multiply
    40,505.46x = 55,833.87 × 27,736.56
  4. Step 4: Simplify right side
    40,505.46x = 1,548,639,485.29
  5. Step 5: Solve for x
    x = 1,548,639,485.29/40,505.46
  6. Step 6: Final answer
    x = 38,232.86

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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.