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Finding the Fourth Proportional to 34,640.43, 51,960.66 and 8,345.16

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Solution

The fourth proportional to 34,640.43, 51,960.66 and 8,345.16 is: 12,517.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,640.43 : 51,960.66 = 8,345.16 : x
  2. Step 2: Convert to fraction form
    34,640.43/51,960.66 = 8,345.16/x
  3. Step 3: Cross multiply
    34,640.43x = 51,960.66 × 8,345.16
  4. Step 4: Simplify right side
    34,640.43x = 433,620,021.41
  5. Step 5: Solve for x
    x = 433,620,021.41/34,640.43
  6. Step 6: Final answer
    x = 12,517.74

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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.