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Finding the Fourth Proportional to 100,331.32, 150,509.44 and 32,840.20

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Solution

The fourth proportional to 100,331.32, 150,509.44 and 32,840.20 is: 49,264.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,331.32 : 150,509.44 = 32,840.20 : x
  2. Step 2: Convert to fraction form
    100,331.32/150,509.44 = 32,840.20/x
  3. Step 3: Cross multiply
    100,331.32x = 150,509.44 × 32,840.20
  4. Step 4: Simplify right side
    100,331.32x = 4,942,760,111.49
  5. Step 5: Solve for x
    x = 4,942,760,111.49/100,331.32
  6. Step 6: Final answer
    x = 49,264.38

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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.