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Finding the Fourth Proportional to 71,530.20, 107,164.44 and 33,509.64

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Solution

The fourth proportional to 71,530.20, 107,164.44 and 33,509.64 is: 50,203.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,530.20 : 107,164.44 = 33,509.64 : x
  2. Step 2: Convert to fraction form
    71,530.20/107,164.44 = 33,509.64/x
  3. Step 3: Cross multiply
    71,530.20x = 107,164.44 × 33,509.64
  4. Step 4: Simplify right side
    71,530.20x = 3,591,041,805.20
  5. Step 5: Solve for x
    x = 3,591,041,805.20/71,530.20
  6. Step 6: Final answer
    x = 50,203.16

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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.