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Finding the Fourth Proportional to 69,878.64, 104,744.16 and 50,146.44

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Solution

The fourth proportional to 69,878.64, 104,744.16 and 50,146.44 is: 75,166.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,878.64 : 104,744.16 = 50,146.44 : x
  2. Step 2: Convert to fraction form
    69,878.64/104,744.16 = 50,146.44/x
  3. Step 3: Cross multiply
    69,878.64x = 104,744.16 × 50,146.44
  4. Step 4: Simplify right side
    69,878.64x = 5,252,546,734.79
  5. Step 5: Solve for x
    x = 5,252,546,734.79/69,878.64
  6. Step 6: Final answer
    x = 75,166.70

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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.