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Finding the Fourth Proportional to 89,131.20, 133,685.28 and 33,720

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Solution

The fourth proportional to 89,131.20, 133,685.28 and 33,720 is: 50,575.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,131.20 : 133,685.28 = 33,720 : x
  2. Step 2: Convert to fraction form
    89,131.20/133,685.28 = 33,720/x
  3. Step 3: Cross multiply
    89,131.20x = 133,685.28 × 33,720
  4. Step 4: Simplify right side
    89,131.20x = 4,507,867,641.60
  5. Step 5: Solve for x
    x = 4,507,867,641.60/89,131.20
  6. Step 6: Final answer
    x = 50,575.64

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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.