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Finding the Fourth Proportional to 33,923.70, 50,909.24 and 13,934.72

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Solution

The fourth proportional to 33,923.70, 50,909.24 and 13,934.72 is: 20,911.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,923.70 : 50,909.24 = 13,934.72 : x
  2. Step 2: Convert to fraction form
    33,923.70/50,909.24 = 13,934.72/x
  3. Step 3: Cross multiply
    33,923.70x = 50,909.24 × 13,934.72
  4. Step 4: Simplify right side
    33,923.70x = 709,406,004.81
  5. Step 5: Solve for x
    x = 709,406,004.81/33,923.70
  6. Step 6: Final answer
    x = 20,911.81

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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.