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Finding the Fourth Proportional to 33,122.67, 49,676.53 and 9,429.69

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Solution

The fourth proportional to 33,122.67, 49,676.53 and 9,429.69 is: 14,142.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,122.67 : 49,676.53 = 9,429.69 : x
  2. Step 2: Convert to fraction form
    33,122.67/49,676.53 = 9,429.69/x
  3. Step 3: Cross multiply
    33,122.67x = 49,676.53 × 9,429.69
  4. Step 4: Simplify right side
    33,122.67x = 468,434,278.18
  5. Step 5: Solve for x
    x = 468,434,278.18/33,122.67
  6. Step 6: Final answer
    x = 14,142.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.