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Finding the Fourth Proportional to 49,278.12, 67,993.74 and 28,051.80

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Solution

The fourth proportional to 49,278.12, 67,993.74 and 28,051.80 is: 38,705.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,278.12 : 67,993.74 = 28,051.80 : x
  2. Step 2: Convert to fraction form
    49,278.12/67,993.74 = 28,051.80/x
  3. Step 3: Cross multiply
    49,278.12x = 67,993.74 × 28,051.80
  4. Step 4: Simplify right side
    49,278.12x = 1,907,346,795.73
  5. Step 5: Solve for x
    x = 1,907,346,795.73/49,278.12
  6. Step 6: Final answer
    x = 38,705.75

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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.