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Finding the Fourth Proportional to 49,732, 68,630.16 and 29,860

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Solution

The fourth proportional to 49,732, 68,630.16 and 29,860 is: 41,206.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,732 : 68,630.16 = 29,860 : x
  2. Step 2: Convert to fraction form
    49,732/68,630.16 = 29,860/x
  3. Step 3: Cross multiply
    49,732x = 68,630.16 × 29,860
  4. Step 4: Simplify right side
    49,732x = 2,049,296,577.60
  5. Step 5: Solve for x
    x = 2,049,296,577.60/49,732
  6. Step 6: Final answer
    x = 41,206.80

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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.