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Finding the Fourth Proportional to 57,178.46, 85,823.13 and 27,617.06

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Solution

The fourth proportional to 57,178.46, 85,823.13 and 27,617.06 is: 41,452.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,178.46 : 85,823.13 = 27,617.06 : x
  2. Step 2: Convert to fraction form
    57,178.46/85,823.13 = 27,617.06/x
  3. Step 3: Cross multiply
    57,178.46x = 85,823.13 × 27,617.06
  4. Step 4: Simplify right side
    57,178.46x = 2,370,182,530.60
  5. Step 5: Solve for x
    x = 2,370,182,530.60/57,178.46
  6. Step 6: Final answer
    x = 41,452.37

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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.