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Finding the Fourth Proportional to 49,477, 68,278.50 and 29,605

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Solution

The fourth proportional to 49,477, 68,278.50 and 29,605 is: 40,855.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,477 : 68,278.50 = 29,605 : x
  2. Step 2: Convert to fraction form
    49,477/68,278.50 = 29,605/x
  3. Step 3: Cross multiply
    49,477x = 68,278.50 × 29,605
  4. Step 4: Simplify right side
    49,477x = 2,021,384,992.50
  5. Step 5: Solve for x
    x = 2,021,384,992.50/49,477
  6. Step 6: Final answer
    x = 40,855.04

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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.