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Finding the Fourth Proportional to 33,883.76, 50,816 and 21,385.08

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Solution

The fourth proportional to 33,883.76, 50,816 and 21,385.08 is: 32,071.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,883.76 : 50,816 = 21,385.08 : x
  2. Step 2: Convert to fraction form
    33,883.76/50,816 = 21,385.08/x
  3. Step 3: Cross multiply
    33,883.76x = 50,816 × 21,385.08
  4. Step 4: Simplify right side
    33,883.76x = 1,086,704,225.28
  5. Step 5: Solve for x
    x = 1,086,704,225.28/33,883.76
  6. Step 6: Final answer
    x = 32,071.54

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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.