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Finding the Fourth Proportional to 57,238.83, 85,857.30 and 15,685.83

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Solution

The fourth proportional to 57,238.83, 85,857.30 and 15,685.83 is: 23,528.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,238.83 : 85,857.30 = 15,685.83 : x
  2. Step 2: Convert to fraction form
    57,238.83/85,857.30 = 15,685.83/x
  3. Step 3: Cross multiply
    57,238.83x = 85,857.30 × 15,685.83
  4. Step 4: Simplify right side
    57,238.83x = 1,346,743,012.06
  5. Step 5: Solve for x
    x = 1,346,743,012.06/57,238.83
  6. Step 6: Final answer
    x = 23,528.49

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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.