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Finding the Fourth Proportional to 32,819.76, 49,243.41 and 14,103.90

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Solution

The fourth proportional to 32,819.76, 49,243.41 and 14,103.90 is: 21,161.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,819.76 : 49,243.41 = 14,103.90 : x
  2. Step 2: Convert to fraction form
    32,819.76/49,243.41 = 14,103.90/x
  3. Step 3: Cross multiply
    32,819.76x = 49,243.41 × 14,103.90
  4. Step 4: Simplify right side
    32,819.76x = 694,524,130.30
  5. Step 5: Solve for x
    x = 694,524,130.30/32,819.76
  6. Step 6: Final answer
    x = 21,161.77

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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.