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Finding the Fourth Proportional to 57,730.46, 86,640.99 and 29,649.38

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Solution

The fourth proportional to 57,730.46, 86,640.99 and 29,649.38 is: 44,497.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,730.46 : 86,640.99 = 29,649.38 : x
  2. Step 2: Convert to fraction form
    57,730.46/86,640.99 = 29,649.38/x
  3. Step 3: Cross multiply
    57,730.46x = 86,640.99 × 29,649.38
  4. Step 4: Simplify right side
    57,730.46x = 2,568,851,636.09
  5. Step 5: Solve for x
    x = 2,568,851,636.09/57,730.46
  6. Step 6: Final answer
    x = 44,497.34

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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.