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Finding the Fourth Proportional to 36,073.25, 49,780.13 and 20,157.83

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Solution

The fourth proportional to 36,073.25, 49,780.13 and 20,157.83 is: 27,817.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,073.25 : 49,780.13 = 20,157.83 : x
  2. Step 2: Convert to fraction form
    36,073.25/49,780.13 = 20,157.83/x
  3. Step 3: Cross multiply
    36,073.25x = 49,780.13 × 20,157.83
  4. Step 4: Simplify right side
    36,073.25x = 1,003,459,048.23
  5. Step 5: Solve for x
    x = 1,003,459,048.23/36,073.25
  6. Step 6: Final answer
    x = 27,817.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.