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Finding the Fourth Proportional to 33,007.02, 49,512.69 and 9,631.50

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Solution

The fourth proportional to 33,007.02, 49,512.69 and 9,631.50 is: 14,447.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,007.02 : 49,512.69 = 9,631.50 : x
  2. Step 2: Convert to fraction form
    33,007.02/49,512.69 = 9,631.50/x
  3. Step 3: Cross multiply
    33,007.02x = 49,512.69 × 9,631.50
  4. Step 4: Simplify right side
    33,007.02x = 476,881,473.74
  5. Step 5: Solve for x
    x = 476,881,473.74/33,007.02
  6. Step 6: Final answer
    x = 14,447.88

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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.