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Finding the Fourth Proportional to 49,967.87, 74,914.74 and 30,241.80

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Solution

The fourth proportional to 49,967.87, 74,914.74 and 30,241.80 is: 45,340.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,967.87 : 74,914.74 = 30,241.80 : x
  2. Step 2: Convert to fraction form
    49,967.87/74,914.74 = 30,241.80/x
  3. Step 3: Cross multiply
    49,967.87x = 74,914.74 × 30,241.80
  4. Step 4: Simplify right side
    49,967.87x = 2,265,556,584.13
  5. Step 5: Solve for x
    x = 2,265,556,584.13/49,967.87
  6. Step 6: Final answer
    x = 45,340.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.