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Finding the Fourth Proportional to 33,965.80, 50,948.70 and 14,237.80

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Solution

The fourth proportional to 33,965.80, 50,948.70 and 14,237.80 is: 21,356.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,965.80 : 50,948.70 = 14,237.80 : x
  2. Step 2: Convert to fraction form
    33,965.80/50,948.70 = 14,237.80/x
  3. Step 3: Cross multiply
    33,965.80x = 50,948.70 × 14,237.80
  4. Step 4: Simplify right side
    33,965.80x = 725,397,400.86
  5. Step 5: Solve for x
    x = 725,397,400.86/33,965.80
  6. Step 6: Final answer
    x = 21,356.70

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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.