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Finding the Fourth Proportional to 33,714.47, 50,594.25 and 13,993.02

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Solution

The fourth proportional to 33,714.47, 50,594.25 and 13,993.02 is: 20,998.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,714.47 : 50,594.25 = 13,993.02 : x
  2. Step 2: Convert to fraction form
    33,714.47/50,594.25 = 13,993.02/x
  3. Step 3: Cross multiply
    33,714.47x = 50,594.25 × 13,993.02
  4. Step 4: Simplify right side
    33,714.47x = 707,966,352.14
  5. Step 5: Solve for x
    x = 707,966,352.14/33,714.47
  6. Step 6: Final answer
    x = 20,998.89

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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.