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Finding the Fourth Proportional to 33,820.92, 50,704.05 and 14,114.24

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Solution

The fourth proportional to 33,820.92, 50,704.05 and 14,114.24 is: 21,159.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,820.92 : 50,704.05 = 14,114.24 : x
  2. Step 2: Convert to fraction form
    33,820.92/50,704.05 = 14,114.24/x
  3. Step 3: Cross multiply
    33,820.92x = 50,704.05 × 14,114.24
  4. Step 4: Simplify right side
    33,820.92x = 715,648,877.15
  5. Step 5: Solve for x
    x = 715,648,877.15/33,820.92
  6. Step 6: Final answer
    x = 21,159.95

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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.