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Finding the Fourth Proportional to 50,653.54, 69,906 and 29,431.54

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Solution

The fourth proportional to 50,653.54, 69,906 and 29,431.54 is: 40,617.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,653.54 : 69,906 = 29,431.54 : x
  2. Step 2: Convert to fraction form
    50,653.54/69,906 = 29,431.54/x
  3. Step 3: Cross multiply
    50,653.54x = 69,906 × 29,431.54
  4. Step 4: Simplify right side
    50,653.54x = 2,057,441,235.24
  5. Step 5: Solve for x
    x = 2,057,441,235.24/50,653.54
  6. Step 6: Final answer
    x = 40,617.92

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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.