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Finding the Fourth Proportional to 100,125.02, 150,210 and 33,563.43

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Solution

The fourth proportional to 100,125.02, 150,210 and 33,563.43 is: 50,352.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,125.02 : 150,210 = 33,563.43 : x
  2. Step 2: Convert to fraction form
    100,125.02/150,210 = 33,563.43/x
  3. Step 3: Cross multiply
    100,125.02x = 150,210 × 33,563.43
  4. Step 4: Simplify right side
    100,125.02x = 5,041,562,820.30
  5. Step 5: Solve for x
    x = 5,041,562,820.30/100,125.02
  6. Step 6: Final answer
    x = 50,352.68

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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.