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Finding the Fourth Proportional to 37,794.42, 56,691.63 and 12,834.54

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Solution

The fourth proportional to 37,794.42, 56,691.63 and 12,834.54 is: 19,251.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,794.42 : 56,691.63 = 12,834.54 : x
  2. Step 2: Convert to fraction form
    37,794.42/56,691.63 = 12,834.54/x
  3. Step 3: Cross multiply
    37,794.42x = 56,691.63 × 12,834.54
  4. Step 4: Simplify right side
    37,794.42x = 727,610,992.90
  5. Step 5: Solve for x
    x = 727,610,992.90/37,794.42
  6. Step 6: Final answer
    x = 19,251.81

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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.