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Finding the Fourth Proportional to 38,230.68, 57,346.02 and 11,937.68

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Solution

The fourth proportional to 38,230.68, 57,346.02 and 11,937.68 is: 17,906.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,230.68 : 57,346.02 = 11,937.68 : x
  2. Step 2: Convert to fraction form
    38,230.68/57,346.02 = 11,937.68/x
  3. Step 3: Cross multiply
    38,230.68x = 57,346.02 × 11,937.68
  4. Step 4: Simplify right side
    38,230.68x = 684,578,149.30
  5. Step 5: Solve for x
    x = 684,578,149.30/38,230.68
  6. Step 6: Final answer
    x = 17,906.51

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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.