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Finding the Fourth Proportional to 57,141.32, 85,767.26 and 27,579.96

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Solution

The fourth proportional to 57,141.32, 85,767.26 and 27,579.96 is: 41,396.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,141.32 : 85,767.26 = 27,579.96 : x
  2. Step 2: Convert to fraction form
    57,141.32/85,767.26 = 27,579.96/x
  3. Step 3: Cross multiply
    57,141.32x = 85,767.26 × 27,579.96
  4. Step 4: Simplify right side
    57,141.32x = 2,365,457,600.11
  5. Step 5: Solve for x
    x = 2,365,457,600.11/57,141.32
  6. Step 6: Final answer
    x = 41,396.62

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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.