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Finding the Fourth Proportional to 38,536.27, 57,765 and 21,861.08

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Solution

The fourth proportional to 38,536.27, 57,765 and 21,861.08 is: 32,769.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,536.27 : 57,765 = 21,861.08 : x
  2. Step 2: Convert to fraction form
    38,536.27/57,765 = 21,861.08/x
  3. Step 3: Cross multiply
    38,536.27x = 57,765 × 21,861.08
  4. Step 4: Simplify right side
    38,536.27x = 1,262,804,997.38
  5. Step 5: Solve for x
    x = 1,262,804,997.38/38,536.27
  6. Step 6: Final answer
    x = 32,769.26

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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.