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Finding the Fourth Proportional to 71,161.32, 106,759.50 and 50,142.41

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Solution

The fourth proportional to 71,161.32, 106,759.50 and 50,142.41 is: 75,225.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,161.32 : 106,759.50 = 50,142.41 : x
  2. Step 2: Convert to fraction form
    71,161.32/106,759.50 = 50,142.41/x
  3. Step 3: Cross multiply
    71,161.32x = 106,759.50 × 50,142.41
  4. Step 4: Simplify right side
    71,161.32x = 5,353,178,620.40
  5. Step 5: Solve for x
    x = 5,353,178,620.40/71,161.32
  6. Step 6: Final answer
    x = 75,225.96

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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.