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Finding the Fourth Proportional to 71,157.64, 106,734.03 and 33,735.64

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Solution

The fourth proportional to 71,157.64, 106,734.03 and 33,735.64 is: 50,602.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,157.64 : 106,734.03 = 33,735.64 : x
  2. Step 2: Convert to fraction form
    71,157.64/106,734.03 = 33,735.64/x
  3. Step 3: Cross multiply
    71,157.64x = 106,734.03 × 33,735.64
  4. Step 4: Simplify right side
    71,157.64x = 3,600,740,811.83
  5. Step 5: Solve for x
    x = 3,600,740,811.83/71,157.64
  6. Step 6: Final answer
    x = 50,602.31

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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.