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Finding the Fourth Proportional to 50,286.44, 69,407.76 and 29,078

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Solution

The fourth proportional to 50,286.44, 69,407.76 and 29,078 is: 40,134.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,286.44 : 69,407.76 = 29,078 : x
  2. Step 2: Convert to fraction form
    50,286.44/69,407.76 = 29,078/x
  3. Step 3: Cross multiply
    50,286.44x = 69,407.76 × 29,078
  4. Step 4: Simplify right side
    50,286.44x = 2,018,238,845.28
  5. Step 5: Solve for x
    x = 2,018,238,845.28/50,286.44
  6. Step 6: Final answer
    x = 40,134.85

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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.