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Finding the Fourth Proportional to 33,001.63, 49,498.42 and 9,628.09

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Solution

The fourth proportional to 33,001.63, 49,498.42 and 9,628.09 is: 14,440.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,001.63 : 49,498.42 = 9,628.09 : x
  2. Step 2: Convert to fraction form
    33,001.63/49,498.42 = 9,628.09/x
  3. Step 3: Cross multiply
    33,001.63x = 49,498.42 × 9,628.09
  4. Step 4: Simplify right side
    33,001.63x = 476,575,242.62
  5. Step 5: Solve for x
    x = 476,575,242.62/33,001.63
  6. Step 6: Final answer
    x = 14,440.96

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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.