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Finding the Fourth Proportional to 47,872.50, 71,819.10 and 14,591.68

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Solution

The fourth proportional to 47,872.50, 71,819.10 and 14,591.68 is: 21,890.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,872.50 : 71,819.10 = 14,591.68 : x
  2. Step 2: Convert to fraction form
    47,872.50/71,819.10 = 14,591.68/x
  3. Step 3: Cross multiply
    47,872.50x = 71,819.10 × 14,591.68
  4. Step 4: Simplify right side
    47,872.50x = 1,047,961,325.09
  5. Step 5: Solve for x
    x = 1,047,961,325.09/47,872.50
  6. Step 6: Final answer
    x = 21,890.67

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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.