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Finding the Fourth Proportional to 33,005.21, 49,507.74 and 8,045.06

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Solution

The fourth proportional to 33,005.21, 49,507.74 and 8,045.06 is: 12,067.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,005.21 : 49,507.74 = 8,045.06 : x
  2. Step 2: Convert to fraction form
    33,005.21/49,507.74 = 8,045.06/x
  3. Step 3: Cross multiply
    33,005.21x = 49,507.74 × 8,045.06
  4. Step 4: Simplify right side
    33,005.21x = 398,292,491.23
  5. Step 5: Solve for x
    x = 398,292,491.23/33,005.21
  6. Step 6: Final answer
    x = 12,067.57

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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.