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Finding the Fourth Proportional to 33,912.02, 50,867.49 and 9,288.02

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Solution

The fourth proportional to 33,912.02, 50,867.49 and 9,288.02 is: 13,931.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,912.02 : 50,867.49 = 9,288.02 : x
  2. Step 2: Convert to fraction form
    33,912.02/50,867.49 = 9,288.02/x
  3. Step 3: Cross multiply
    33,912.02x = 50,867.49 × 9,288.02
  4. Step 4: Simplify right side
    33,912.02x = 472,458,264.47
  5. Step 5: Solve for x
    x = 472,458,264.47/33,912.02
  6. Step 6: Final answer
    x = 13,931.88

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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.