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Finding the Fourth Proportional to 41,397.76, 57,062.32 and 27,964.80

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Solution

The fourth proportional to 41,397.76, 57,062.32 and 27,964.80 is: 38,546.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,397.76 : 57,062.32 = 27,964.80 : x
  2. Step 2: Convert to fraction form
    41,397.76/57,062.32 = 27,964.80/x
  3. Step 3: Cross multiply
    41,397.76x = 57,062.32 × 27,964.80
  4. Step 4: Simplify right side
    41,397.76x = 1,595,736,366.34
  5. Step 5: Solve for x
    x = 1,595,736,366.34/41,397.76
  6. Step 6: Final answer
    x = 38,546.44

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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.