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Finding the Fourth Proportional to 41,525.40, 57,380.13 and 29,568

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Solution

The fourth proportional to 41,525.40, 57,380.13 and 29,568 is: 40,857.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,525.40 : 57,380.13 = 29,568 : x
  2. Step 2: Convert to fraction form
    41,525.40/57,380.13 = 29,568/x
  3. Step 3: Cross multiply
    41,525.40x = 57,380.13 × 29,568
  4. Step 4: Simplify right side
    41,525.40x = 1,696,615,683.84
  5. Step 5: Solve for x
    x = 1,696,615,683.84/41,525.40
  6. Step 6: Final answer
    x = 40,857.30

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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.