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Finding the Fourth Proportional to 33,034.88, 49,555.84 and 9,661.44

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Solution

The fourth proportional to 33,034.88, 49,555.84 and 9,661.44 is: 14,493.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,034.88 : 49,555.84 = 9,661.44 : x
  2. Step 2: Convert to fraction form
    33,034.88/49,555.84 = 9,661.44/x
  3. Step 3: Cross multiply
    33,034.88x = 49,555.84 × 9,661.44
  4. Step 4: Simplify right side
    33,034.88x = 478,780,774.81
  5. Step 5: Solve for x
    x = 478,780,774.81/33,034.88
  6. Step 6: Final answer
    x = 14,493.19

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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.