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Finding the Fourth Proportional to 49,166.36, 67,849.43 and 27,949.71

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Solution

The fourth proportional to 49,166.36, 67,849.43 and 27,949.71 is: 38,570.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,166.36 : 67,849.43 = 27,949.71 : x
  2. Step 2: Convert to fraction form
    49,166.36/67,849.43 = 27,949.71/x
  3. Step 3: Cross multiply
    49,166.36x = 67,849.43 × 27,949.71
  4. Step 4: Simplify right side
    49,166.36x = 1,896,371,752.42
  5. Step 5: Solve for x
    x = 1,896,371,752.42/49,166.36
  6. Step 6: Final answer
    x = 38,570.52

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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.