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Finding the Fourth Proportional to 69,096, 103,502.72 and 33,925.44

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Solution

The fourth proportional to 69,096, 103,502.72 and 33,925.44 is: 50,818.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,096 : 103,502.72 = 33,925.44 : x
  2. Step 2: Convert to fraction form
    69,096/103,502.72 = 33,925.44/x
  3. Step 3: Cross multiply
    69,096x = 103,502.72 × 33,925.44
  4. Step 4: Simplify right side
    69,096x = 3,511,375,317.20
  5. Step 5: Solve for x
    x = 3,511,375,317.20/69,096
  6. Step 6: Final answer
    x = 50,818.79

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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.