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Finding the Fourth Proportional to 43,397.92, 65,097.96 and 12,232

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Solution

The fourth proportional to 43,397.92, 65,097.96 and 12,232 is: 18,348.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,397.92 : 65,097.96 = 12,232 : x
  2. Step 2: Convert to fraction form
    43,397.92/65,097.96 = 12,232/x
  3. Step 3: Cross multiply
    43,397.92x = 65,097.96 × 12,232
  4. Step 4: Simplify right side
    43,397.92x = 796,278,246.72
  5. Step 5: Solve for x
    x = 796,278,246.72/43,397.92
  6. Step 6: Final answer
    x = 18,348.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.