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Finding the Fourth Proportional to 41,638.28, 57,461.28 and 22,775

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Solution

The fourth proportional to 41,638.28, 57,461.28 and 22,775 is: 31,429.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,638.28 : 57,461.28 = 22,775 : x
  2. Step 2: Convert to fraction form
    41,638.28/57,461.28 = 22,775/x
  3. Step 3: Cross multiply
    41,638.28x = 57,461.28 × 22,775
  4. Step 4: Simplify right side
    41,638.28x = 1,308,680,652
  5. Step 5: Solve for x
    x = 1,308,680,652/41,638.28
  6. Step 6: Final answer
    x = 31,429.75

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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.