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Finding the Fourth Proportional to 33,005.62, 49,511.34 and 9,313.37

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Solution

The fourth proportional to 33,005.62, 49,511.34 and 9,313.37 is: 13,970.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,005.62 : 49,511.34 = 9,313.37 : x
  2. Step 2: Convert to fraction form
    33,005.62/49,511.34 = 9,313.37/x
  3. Step 3: Cross multiply
    33,005.62x = 49,511.34 × 9,313.37
  4. Step 4: Simplify right side
    33,005.62x = 461,117,382.05
  5. Step 5: Solve for x
    x = 461,117,382.05/33,005.62
  6. Step 6: Final answer
    x = 13,970.88

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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.