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Finding the Fourth Proportional to 33,029.66, 49,544.88 and 9,337.42

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Solution

The fourth proportional to 33,029.66, 49,544.88 and 9,337.42 is: 14,006.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,029.66 : 49,544.88 = 9,337.42 : x
  2. Step 2: Convert to fraction form
    33,029.66/49,544.88 = 9,337.42/x
  3. Step 3: Cross multiply
    33,029.66x = 49,544.88 × 9,337.42
  4. Step 4: Simplify right side
    33,029.66x = 462,621,353.41
  5. Step 5: Solve for x
    x = 462,621,353.41/33,029.66
  6. Step 6: Final answer
    x = 14,006.24

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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.