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Finding the Fourth Proportional to 41,509.28, 57,282.36 and 22,646

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Solution

The fourth proportional to 41,509.28, 57,282.36 and 22,646 is: 31,251.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,509.28 : 57,282.36 = 22,646 : x
  2. Step 2: Convert to fraction form
    41,509.28/57,282.36 = 22,646/x
  3. Step 3: Cross multiply
    41,509.28x = 57,282.36 × 22,646
  4. Step 4: Simplify right side
    41,509.28x = 1,297,216,324.56
  5. Step 5: Solve for x
    x = 1,297,216,324.56/41,509.28
  6. Step 6: Final answer
    x = 31,251.24

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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.