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Finding the Fourth Proportional to 33,004.52, 49,508.94 and 9,629

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Solution

The fourth proportional to 33,004.52, 49,508.94 and 9,629 is: 14,444.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,004.52 : 49,508.94 = 9,629 : x
  2. Step 2: Convert to fraction form
    33,004.52/49,508.94 = 9,629/x
  3. Step 3: Cross multiply
    33,004.52x = 49,508.94 × 9,629
  4. Step 4: Simplify right side
    33,004.52x = 476,721,583.26
  5. Step 5: Solve for x
    x = 476,721,583.26/33,004.52
  6. Step 6: Final answer
    x = 14,444.13

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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.