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Finding the Fourth Proportional to 33,148.68, 49,725.27 and 9,458.07

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Solution

The fourth proportional to 33,148.68, 49,725.27 and 9,458.07 is: 14,187.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,148.68 : 49,725.27 = 9,458.07 : x
  2. Step 2: Convert to fraction form
    33,148.68/49,725.27 = 9,458.07/x
  3. Step 3: Cross multiply
    33,148.68x = 49,725.27 × 9,458.07
  4. Step 4: Simplify right side
    33,148.68x = 470,305,084.43
  5. Step 5: Solve for x
    x = 470,305,084.43/33,148.68
  6. Step 6: Final answer
    x = 14,187.75

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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.