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Finding the Fourth Proportional to 49,493.61, 68,285.12 and 27,981.27

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Solution

The fourth proportional to 49,493.61, 68,285.12 and 27,981.27 is: 38,605.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,493.61 : 68,285.12 = 27,981.27 : x
  2. Step 2: Convert to fraction form
    49,493.61/68,285.12 = 27,981.27/x
  3. Step 3: Cross multiply
    49,493.61x = 68,285.12 × 27,981.27
  4. Step 4: Simplify right side
    49,493.61x = 1,910,704,239.80
  5. Step 5: Solve for x
    x = 1,910,704,239.80/49,493.61
  6. Step 6: Final answer
    x = 38,605.07

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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.