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Finding the Fourth Proportional to 33,650.10, 50,475.15 and 33,002.10

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Solution

The fourth proportional to 33,650.10, 50,475.15 and 33,002.10 is: 49,503.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,650.10 : 50,475.15 = 33,002.10 : x
  2. Step 2: Convert to fraction form
    33,650.10/50,475.15 = 33,002.10/x
  3. Step 3: Cross multiply
    33,650.10x = 50,475.15 × 33,002.10
  4. Step 4: Simplify right side
    33,650.10x = 1,665,785,947.82
  5. Step 5: Solve for x
    x = 1,665,785,947.82/33,650.10
  6. Step 6: Final answer
    x = 49,503.15

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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.