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Finding the Fourth Proportional to 41,361.10, 57,078 and 22,498.24

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Solution

The fourth proportional to 41,361.10, 57,078 and 22,498.24 is: 31,047.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,361.10 : 57,078 = 22,498.24 : x
  2. Step 2: Convert to fraction form
    41,361.10/57,078 = 22,498.24/x
  3. Step 3: Cross multiply
    41,361.10x = 57,078 × 22,498.24
  4. Step 4: Simplify right side
    41,361.10x = 1,284,154,542.72
  5. Step 5: Solve for x
    x = 1,284,154,542.72/41,361.10
  6. Step 6: Final answer
    x = 31,047.40

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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.