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Finding the Fourth Proportional to 50,562.70, 75,834.50 and 18,971.50

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Solution

The fourth proportional to 50,562.70, 75,834.50 and 18,971.50 is: 28,453.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,562.70 : 75,834.50 = 18,971.50 : x
  2. Step 2: Convert to fraction form
    50,562.70/75,834.50 = 18,971.50/x
  3. Step 3: Cross multiply
    50,562.70x = 75,834.50 × 18,971.50
  4. Step 4: Simplify right side
    50,562.70x = 1,438,694,216.75
  5. Step 5: Solve for x
    x = 1,438,694,216.75/50,562.70
  6. Step 6: Final answer
    x = 28,453.67

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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.