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Finding the Fourth Proportional to 41,730.91, 62,606.62 and 12,149

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Solution

The fourth proportional to 41,730.91, 62,606.62 and 12,149 is: 18,226.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,730.91 : 62,606.62 = 12,149 : x
  2. Step 2: Convert to fraction form
    41,730.91/62,606.62 = 12,149/x
  3. Step 3: Cross multiply
    41,730.91x = 62,606.62 × 12,149
  4. Step 4: Simplify right side
    41,730.91x = 760,607,826.38
  5. Step 5: Solve for x
    x = 760,607,826.38/41,730.91
  6. Step 6: Final answer
    x = 18,226.49

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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.