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Finding the Fourth Proportional to 33,122.61, 49,676.44 and 9,429.63

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Solution

The fourth proportional to 33,122.61, 49,676.44 and 9,429.63 is: 14,142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,122.61 : 49,676.44 = 9,429.63 : x
  2. Step 2: Convert to fraction form
    33,122.61/49,676.44 = 9,429.63/x
  3. Step 3: Cross multiply
    33,122.61x = 49,676.44 × 9,429.63
  4. Step 4: Simplify right side
    33,122.61x = 468,430,425.34
  5. Step 5: Solve for x
    x = 468,430,425.34/33,122.61
  6. Step 6: Final answer
    x = 14,142.32

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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.