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Finding the Fourth Proportional to 33,161.40, 49,628.70 and 20,023.20

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Solution

The fourth proportional to 33,161.40, 49,628.70 and 20,023.20 is: 29,966.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,161.40 : 49,628.70 = 20,023.20 : x
  2. Step 2: Convert to fraction form
    33,161.40/49,628.70 = 20,023.20/x
  3. Step 3: Cross multiply
    33,161.40x = 49,628.70 × 20,023.20
  4. Step 4: Simplify right side
    33,161.40x = 993,725,385.84
  5. Step 5: Solve for x
    x = 993,725,385.84/33,161.40
  6. Step 6: Final answer
    x = 29,966.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.