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Finding the Fourth Proportional to 33,148.93, 49,725.65 and 9,458.32

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Solution

The fourth proportional to 33,148.93, 49,725.65 and 9,458.32 is: 14,188.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,148.93 : 49,725.65 = 9,458.32 : x
  2. Step 2: Convert to fraction form
    33,148.93/49,725.65 = 9,458.32/x
  3. Step 3: Cross multiply
    33,148.93x = 49,725.65 × 9,458.32
  4. Step 4: Simplify right side
    33,148.93x = 470,321,109.91
  5. Step 5: Solve for x
    x = 470,321,109.91/33,148.93
  6. Step 6: Final answer
    x = 14,188.12

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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.