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Finding the Fourth Proportional to 57,156.68, 85,739.12 and 19,716.20

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Solution

The fourth proportional to 57,156.68, 85,739.12 and 19,716.20 is: 29,575.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,156.68 : 85,739.12 = 19,716.20 : x
  2. Step 2: Convert to fraction form
    57,156.68/85,739.12 = 19,716.20/x
  3. Step 3: Cross multiply
    57,156.68x = 85,739.12 × 19,716.20
  4. Step 4: Simplify right side
    57,156.68x = 1,690,449,637.74
  5. Step 5: Solve for x
    x = 1,690,449,637.74/57,156.68
  6. Step 6: Final answer
    x = 29,575.71

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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.