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Finding the Fourth Proportional to 33,164.16, 49,676.88 and 20,009.60

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Solution

The fourth proportional to 33,164.16, 49,676.88 and 20,009.60 is: 29,972.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,164.16 : 49,676.88 = 20,009.60 : x
  2. Step 2: Convert to fraction form
    33,164.16/49,676.88 = 20,009.60/x
  3. Step 3: Cross multiply
    33,164.16x = 49,676.88 × 20,009.60
  4. Step 4: Simplify right side
    33,164.16x = 994,014,498.05
  5. Step 5: Solve for x
    x = 994,014,498.05/33,164.16
  6. Step 6: Final answer
    x = 29,972.55

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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.