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Finding the Fourth Proportional to 57,734.64, 79,674.03 and 33,861.78

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Solution

The fourth proportional to 57,734.64, 79,674.03 and 33,861.78 is: 46,729.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,734.64 : 79,674.03 = 33,861.78 : x
  2. Step 2: Convert to fraction form
    57,734.64/79,674.03 = 33,861.78/x
  3. Step 3: Cross multiply
    57,734.64x = 79,674.03 × 33,861.78
  4. Step 4: Simplify right side
    57,734.64x = 2,697,904,475.57
  5. Step 5: Solve for x
    x = 2,697,904,475.57/57,734.64
  6. Step 6: Final answer
    x = 46,729.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.