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Finding the Fourth Proportional to 33,301.32, 49,709.05 and 29,097.49

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Solution

The fourth proportional to 33,301.32, 49,709.05 and 29,097.49 is: 43,433.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,301.32 : 49,709.05 = 29,097.49 : x
  2. Step 2: Convert to fraction form
    33,301.32/49,709.05 = 29,097.49/x
  3. Step 3: Cross multiply
    33,301.32x = 49,709.05 × 29,097.49
  4. Step 4: Simplify right side
    33,301.32x = 1,446,408,439.80
  5. Step 5: Solve for x
    x = 1,446,408,439.80/33,301.32
  6. Step 6: Final answer
    x = 43,433.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.