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Finding the Fourth Proportional to 100,015.25, 150,096.72 and 47,424.92

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Solution

The fourth proportional to 100,015.25, 150,096.72 and 47,424.92 is: 71,172.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,015.25 : 150,096.72 = 47,424.92 : x
  2. Step 2: Convert to fraction form
    100,015.25/150,096.72 = 47,424.92/x
  3. Step 3: Cross multiply
    100,015.25x = 150,096.72 × 47,424.92
  4. Step 4: Simplify right side
    100,015.25x = 7,118,324,938.26
  5. Step 5: Solve for x
    x = 7,118,324,938.26/100,015.25
  6. Step 6: Final answer
    x = 71,172.40

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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.