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Finding the Fourth Proportional to 71,491.84, 107,168.03 and 34,041.85

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Solution

The fourth proportional to 71,491.84, 107,168.03 and 34,041.85 is: 51,029.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,491.84 : 107,168.03 = 34,041.85 : x
  2. Step 2: Convert to fraction form
    71,491.84/107,168.03 = 34,041.85/x
  3. Step 3: Cross multiply
    71,491.84x = 107,168.03 × 34,041.85
  4. Step 4: Simplify right side
    71,491.84x = 3,648,198,002.06
  5. Step 5: Solve for x
    x = 3,648,198,002.06/71,491.84
  6. Step 6: Final answer
    x = 51,029.57

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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.