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Finding the Fourth Proportional to 49,311.69, 68,048.82 and 28,097.79

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Solution

The fourth proportional to 49,311.69, 68,048.82 and 28,097.79 is: 38,774.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,311.69 : 68,048.82 = 28,097.79 : x
  2. Step 2: Convert to fraction form
    49,311.69/68,048.82 = 28,097.79/x
  3. Step 3: Cross multiply
    49,311.69x = 68,048.82 × 28,097.79
  4. Step 4: Simplify right side
    49,311.69x = 1,912,021,454.11
  5. Step 5: Solve for x
    x = 1,912,021,454.11/49,311.69
  6. Step 6: Final answer
    x = 38,774.20

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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.