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Finding the Fourth Proportional to 33,813.64, 50,714.70 and 10,433.80

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Solution

The fourth proportional to 33,813.64, 50,714.70 and 10,433.80 is: 15,648.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,813.64 : 50,714.70 = 10,433.80 : x
  2. Step 2: Convert to fraction form
    33,813.64/50,714.70 = 10,433.80/x
  3. Step 3: Cross multiply
    33,813.64x = 50,714.70 × 10,433.80
  4. Step 4: Simplify right side
    33,813.64x = 529,147,036.86
  5. Step 5: Solve for x
    x = 529,147,036.86/33,813.64
  6. Step 6: Final answer
    x = 15,648.92

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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.