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Finding the Fourth Proportional to 33,200.70, 49,801.05 and 20,078.70

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Solution

The fourth proportional to 33,200.70, 49,801.05 and 20,078.70 is: 30,118.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,200.70 : 49,801.05 = 20,078.70 : x
  2. Step 2: Convert to fraction form
    33,200.70/49,801.05 = 20,078.70/x
  3. Step 3: Cross multiply
    33,200.70x = 49,801.05 × 20,078.70
  4. Step 4: Simplify right side
    33,200.70x = 999,940,342.64
  5. Step 5: Solve for x
    x = 999,940,342.64/33,200.70
  6. Step 6: Final answer
    x = 30,118.05

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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.