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Finding the Fourth Proportional to 100,431.56, 150,551.22 and 37,234.64

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Solution

The fourth proportional to 100,431.56, 150,551.22 and 37,234.64 is: 55,816.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,431.56 : 150,551.22 = 37,234.64 : x
  2. Step 2: Convert to fraction form
    100,431.56/150,551.22 = 37,234.64/x
  3. Step 3: Cross multiply
    100,431.56x = 150,551.22 × 37,234.64
  4. Step 4: Simplify right side
    100,431.56x = 5,605,720,478.26
  5. Step 5: Solve for x
    x = 5,605,720,478.26/100,431.56
  6. Step 6: Final answer
    x = 55,816.32

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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.