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Finding the Fourth Proportional to 33,004.68, 49,513.50 and 9,631.32

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Solution

The fourth proportional to 33,004.68, 49,513.50 and 9,631.32 is: 14,448.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,004.68 : 49,513.50 = 9,631.32 : x
  2. Step 2: Convert to fraction form
    33,004.68/49,513.50 = 9,631.32/x
  3. Step 3: Cross multiply
    33,004.68x = 49,513.50 × 9,631.32
  4. Step 4: Simplify right side
    33,004.68x = 476,880,362.82
  5. Step 5: Solve for x
    x = 476,880,362.82/33,004.68
  6. Step 6: Final answer
    x = 14,448.87

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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.