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Finding the Fourth Proportional to 57,177.46, 85,821.63 and 27,616.06

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Solution

The fourth proportional to 57,177.46, 85,821.63 and 27,616.06 is: 41,450.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,177.46 : 85,821.63 = 27,616.06 : x
  2. Step 2: Convert to fraction form
    57,177.46/85,821.63 = 27,616.06/x
  3. Step 3: Cross multiply
    57,177.46x = 85,821.63 × 27,616.06
  4. Step 4: Simplify right side
    57,177.46x = 2,370,055,283.38
  5. Step 5: Solve for x
    x = 2,370,055,283.38/57,177.46
  6. Step 6: Final answer
    x = 41,450.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.