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Finding the Fourth Proportional to 41,507.28, 57,279.60 and 22,644

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Solution

The fourth proportional to 41,507.28, 57,279.60 and 22,644 is: 31,248.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,507.28 : 57,279.60 = 22,644 : x
  2. Step 2: Convert to fraction form
    41,507.28/57,279.60 = 22,644/x
  3. Step 3: Cross multiply
    41,507.28x = 57,279.60 × 22,644
  4. Step 4: Simplify right side
    41,507.28x = 1,297,039,262.40
  5. Step 5: Solve for x
    x = 1,297,039,262.40/41,507.28
  6. Step 6: Final answer
    x = 31,248.48

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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.