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Finding the Fourth Proportional to 38,185.82, 52,696.74 and 21,190.14

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Solution

The fourth proportional to 38,185.82, 52,696.74 and 21,190.14 is: 29,242.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,185.82 : 52,696.74 = 21,190.14 : x
  2. Step 2: Convert to fraction form
    38,185.82/52,696.74 = 21,190.14/x
  3. Step 3: Cross multiply
    38,185.82x = 52,696.74 × 21,190.14
  4. Step 4: Simplify right side
    38,185.82x = 1,116,651,298.14
  5. Step 5: Solve for x
    x = 1,116,651,298.14/38,185.82
  6. Step 6: Final answer
    x = 29,242.56

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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.