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Finding the Fourth Proportional to 50,634, 69,874.20 and 29,425.20

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Solution

The fourth proportional to 50,634, 69,874.20 and 29,425.20 is: 40,606.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,634 : 69,874.20 = 29,425.20 : x
  2. Step 2: Convert to fraction form
    50,634/69,874.20 = 29,425.20/x
  3. Step 3: Cross multiply
    50,634x = 69,874.20 × 29,425.20
  4. Step 4: Simplify right side
    50,634x = 2,056,062,309.84
  5. Step 5: Solve for x
    x = 2,056,062,309.84/50,634
  6. Step 6: Final answer
    x = 40,606.36

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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.