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Finding the Fourth Proportional to 34,640.71, 51,961.17 and 9,680.59

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Solution

The fourth proportional to 34,640.71, 51,961.17 and 9,680.59 is: 14,520.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,640.71 : 51,961.17 = 9,680.59 : x
  2. Step 2: Convert to fraction form
    34,640.71/51,961.17 = 9,680.59/x
  3. Step 3: Cross multiply
    34,640.71x = 51,961.17 × 9,680.59
  4. Step 4: Simplify right side
    34,640.71x = 503,014,782.69
  5. Step 5: Solve for x
    x = 503,014,782.69/34,640.71
  6. Step 6: Final answer
    x = 14,520.91

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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.