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Finding the Fourth Proportional to 67,147.47, 100,756.49 and 29,733.39

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Solution

The fourth proportional to 67,147.47, 100,756.49 and 29,733.39 is: 44,615.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,147.47 : 100,756.49 = 29,733.39 : x
  2. Step 2: Convert to fraction form
    67,147.47/100,756.49 = 29,733.39/x
  3. Step 3: Cross multiply
    67,147.47x = 100,756.49 × 29,733.39
  4. Step 4: Simplify right side
    67,147.47x = 2,995,831,863.53
  5. Step 5: Solve for x
    x = 2,995,831,863.53/67,147.47
  6. Step 6: Final answer
    x = 44,615.71

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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.