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Finding the Fourth Proportional to 36,071.80, 49,778.97 and 20,156.26

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Solution

The fourth proportional to 36,071.80, 49,778.97 and 20,156.26 is: 27,815.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,071.80 : 49,778.97 = 20,156.26 : x
  2. Step 2: Convert to fraction form
    36,071.80/49,778.97 = 20,156.26/x
  3. Step 3: Cross multiply
    36,071.80x = 49,778.97 × 20,156.26
  4. Step 4: Simplify right side
    36,071.80x = 1,003,357,912.24
  5. Step 5: Solve for x
    x = 1,003,357,912.24/36,071.80
  6. Step 6: Final answer
    x = 27,815.58

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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.