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Finding the Fourth Proportional to 41,638.78, 57,460.89 and 24,868.54

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Solution

The fourth proportional to 41,638.78, 57,460.89 and 24,868.54 is: 34,318.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,638.78 : 57,460.89 = 24,868.54 : x
  2. Step 2: Convert to fraction form
    41,638.78/57,460.89 = 24,868.54/x
  3. Step 3: Cross multiply
    41,638.78x = 57,460.89 × 24,868.54
  4. Step 4: Simplify right side
    41,638.78x = 1,428,968,441.40
  5. Step 5: Solve for x
    x = 1,428,968,441.40/41,638.78
  6. Step 6: Final answer
    x = 34,318.21

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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.