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Finding the Fourth Proportional to 49,796.64, 74,694.96 and 34,166.88

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Solution

The fourth proportional to 49,796.64, 74,694.96 and 34,166.88 is: 51,250.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,796.64 : 74,694.96 = 34,166.88 : x
  2. Step 2: Convert to fraction form
    49,796.64/74,694.96 = 34,166.88/x
  3. Step 3: Cross multiply
    49,796.64x = 74,694.96 × 34,166.88
  4. Step 4: Simplify right side
    49,796.64x = 2,552,093,734.92
  5. Step 5: Solve for x
    x = 2,552,093,734.92/49,796.64
  6. Step 6: Final answer
    x = 51,250.32

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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.