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Finding the Fourth Proportional to 100,494.44, 150,744.87 and 50,547.26

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Solution

The fourth proportional to 100,494.44, 150,744.87 and 50,547.26 is: 75,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,494.44 : 150,744.87 = 50,547.26 : x
  2. Step 2: Convert to fraction form
    100,494.44/150,744.87 = 50,547.26/x
  3. Step 3: Cross multiply
    100,494.44x = 150,744.87 × 50,547.26
  4. Step 4: Simplify right side
    100,494.44x = 7,619,740,137.56
  5. Step 5: Solve for x
    x = 7,619,740,137.56/100,494.44
  6. Step 6: Final answer
    x = 75,822.50

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1.5x scale

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.