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Finding the Fourth Proportional to 33,814.25, 50,739.05 and 13,838.57

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Solution

The fourth proportional to 33,814.25, 50,739.05 and 13,838.57 is: 20,765.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,814.25 : 50,739.05 = 13,838.57 : x
  2. Step 2: Convert to fraction form
    33,814.25/50,739.05 = 13,838.57/x
  3. Step 3: Cross multiply
    33,814.25x = 50,739.05 × 13,838.57
  4. Step 4: Simplify right side
    33,814.25x = 702,155,641.46
  5. Step 5: Solve for x
    x = 702,155,641.46/33,814.25
  6. Step 6: Final answer
    x = 20,765.08

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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.