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Finding the Fourth Proportional to 100,508.83, 150,731.24 and 33,025.20

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Solution

The fourth proportional to 100,508.83, 150,731.24 and 33,025.20 is: 49,527.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,508.83 : 150,731.24 = 33,025.20 : x
  2. Step 2: Convert to fraction form
    100,508.83/150,731.24 = 33,025.20/x
  3. Step 3: Cross multiply
    100,508.83x = 150,731.24 × 33,025.20
  4. Step 4: Simplify right side
    100,508.83x = 4,977,929,347.25
  5. Step 5: Solve for x
    x = 4,977,929,347.25/100,508.83
  6. Step 6: Final answer
    x = 49,527.28

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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.