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Finding the Fourth Proportional to 49,226.94, 67,933.89 and 28,005.75

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Solution

The fourth proportional to 49,226.94, 67,933.89 and 28,005.75 is: 38,648.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,226.94 : 67,933.89 = 28,005.75 : x
  2. Step 2: Convert to fraction form
    49,226.94/67,933.89 = 28,005.75/x
  3. Step 3: Cross multiply
    49,226.94x = 67,933.89 × 28,005.75
  4. Step 4: Simplify right side
    49,226.94x = 1,902,539,539.87
  5. Step 5: Solve for x
    x = 1,902,539,539.87/49,226.94
  6. Step 6: Final answer
    x = 38,648.34

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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.