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Finding the Fourth Proportional to 49,672.49, 68,547.87 and 27,868.80

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Solution

The fourth proportional to 49,672.49, 68,547.87 and 27,868.80 is: 38,458.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,672.49 : 68,547.87 = 27,868.80 : x
  2. Step 2: Convert to fraction form
    49,672.49/68,547.87 = 27,868.80/x
  3. Step 3: Cross multiply
    49,672.49x = 68,547.87 × 27,868.80
  4. Step 4: Simplify right side
    49,672.49x = 1,910,346,879.46
  5. Step 5: Solve for x
    x = 1,910,346,879.46/49,672.49
  6. Step 6: Final answer
    x = 38,458.85

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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.