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Finding the Fourth Proportional to 71,453.20, 107,195.16 and 24,073

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Solution

The fourth proportional to 71,453.20, 107,195.16 and 24,073 is: 36,114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,453.20 : 107,195.16 = 24,073 : x
  2. Step 2: Convert to fraction form
    71,453.20/107,195.16 = 24,073/x
  3. Step 3: Cross multiply
    71,453.20x = 107,195.16 × 24,073
  4. Step 4: Simplify right side
    71,453.20x = 2,580,509,086.68
  5. Step 5: Solve for x
    x = 2,580,509,086.68/71,453.20
  6. Step 6: Final answer
    x = 36,114.67

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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.