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Finding the Fourth Proportional to 71,156.64, 106,732.53 and 33,734.64

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Solution

The fourth proportional to 71,156.64, 106,732.53 and 33,734.64 is: 50,600.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,156.64 : 106,732.53 = 33,734.64 : x
  2. Step 2: Convert to fraction form
    71,156.64/106,732.53 = 33,734.64/x
  3. Step 3: Cross multiply
    71,156.64x = 106,732.53 × 33,734.64
  4. Step 4: Simplify right side
    71,156.64x = 3,600,583,475.84
  5. Step 5: Solve for x
    x = 3,600,583,475.84/71,156.64
  6. Step 6: Final answer
    x = 50,600.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.