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Finding the Fourth Proportional to 34,683.50, 51,994.02 and 12,481.27

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Solution

The fourth proportional to 34,683.50, 51,994.02 and 12,481.27 is: 18,710.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,683.50 : 51,994.02 = 12,481.27 : x
  2. Step 2: Convert to fraction form
    34,683.50/51,994.02 = 12,481.27/x
  3. Step 3: Cross multiply
    34,683.50x = 51,994.02 × 12,481.27
  4. Step 4: Simplify right side
    34,683.50x = 648,951,402.01
  5. Step 5: Solve for x
    x = 648,951,402.01/34,683.50
  6. Step 6: Final answer
    x = 18,710.67

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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.