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Finding the Fourth Proportional to 37,105.85, 55,658.78 and 9,025.73

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Solution

The fourth proportional to 37,105.85, 55,658.78 and 9,025.73 is: 13,538.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,105.85 : 55,658.78 = 9,025.73 : x
  2. Step 2: Convert to fraction form
    37,105.85/55,658.78 = 9,025.73/x
  3. Step 3: Cross multiply
    37,105.85x = 55,658.78 × 9,025.73
  4. Step 4: Simplify right side
    37,105.85x = 502,361,120.41
  5. Step 5: Solve for x
    x = 502,361,120.41/37,105.85
  6. Step 6: Final answer
    x = 13,538.60

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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.