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Finding the Fourth Proportional to 47,711.92, 71,583 and 37,217.92

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Solution

The fourth proportional to 47,711.92, 71,583 and 37,217.92 is: 55,838.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,711.92 : 71,583 = 37,217.92 : x
  2. Step 2: Convert to fraction form
    47,711.92/71,583 = 37,217.92/x
  3. Step 3: Cross multiply
    47,711.92x = 71,583 × 37,217.92
  4. Step 4: Simplify right side
    47,711.92x = 2,664,170,367.36
  5. Step 5: Solve for x
    x = 2,664,170,367.36/47,711.92
  6. Step 6: Final answer
    x = 55,838.67

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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.