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Finding the Fourth Proportional to 33,698.25, 50,538.72 and 10,000.19

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Solution

The fourth proportional to 33,698.25, 50,538.72 and 10,000.19 is: 14,997.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,698.25 : 50,538.72 = 10,000.19 : x
  2. Step 2: Convert to fraction form
    33,698.25/50,538.72 = 10,000.19/x
  3. Step 3: Cross multiply
    33,698.25x = 50,538.72 × 10,000.19
  4. Step 4: Simplify right side
    33,698.25x = 505,396,802.36
  5. Step 5: Solve for x
    x = 505,396,802.36/33,698.25
  6. Step 6: Final answer
    x = 14,997.72

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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.